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Finding the Fourth Proportional to 1,220.76, 1,686.02 and 827.10

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Solution

The fourth proportional to 1,220.76, 1,686.02 and 827.10 is: 1,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.76 : 1,686.02 = 827.10 : x
  2. Step 2: Convert to fraction form
    1,220.76/1,686.02 = 827.10/x
  3. Step 3: Cross multiply
    1,220.76x = 1,686.02 × 827.10
  4. Step 4: Simplify right side
    1,220.76x = 1,394,503.01
  5. Step 5: Solve for x
    x = 1,394,503.01/1,220.76
  6. Step 6: Final answer
    x = 1,142.32

Related Problems

Find fourth proportional to 610.38, 843.01 and 413.55
Half scale
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Double scale
Find fourth proportional to 1,221.76, 1,687.40 and 828.10
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.