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Finding the Fourth Proportional to 1,552.76, 2,142.80 and 890

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Solution

The fourth proportional to 1,552.76, 2,142.80 and 890 is: 1,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.76 : 2,142.80 = 890 : x
  2. Step 2: Convert to fraction form
    1,552.76/2,142.80 = 890/x
  3. Step 3: Cross multiply
    1,552.76x = 2,142.80 × 890
  4. Step 4: Simplify right side
    1,552.76x = 1,907,092.00
  5. Step 5: Solve for x
    x = 1,907,092.00/1,552.76
  6. Step 6: Final answer
    x = 1,228.19

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Find fourth proportional to 776.38, 1,071.40 and 445
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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.