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Finding the Fourth Proportional to 823.36, 1,234.68 and 275.62

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Solution

The fourth proportional to 823.36, 1,234.68 and 275.62 is: 413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.36 : 1,234.68 = 275.62 : x
  2. Step 2: Convert to fraction form
    823.36/1,234.68 = 275.62/x
  3. Step 3: Cross multiply
    823.36x = 1,234.68 × 275.62
  4. Step 4: Simplify right side
    823.36x = 340,302.50
  5. Step 5: Solve for x
    x = 340,302.50/823.36
  6. Step 6: Final answer
    x = 413.31

Related Problems

Find fourth proportional to 411.68, 617.34 and 137.81
Half scale
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Double scale
Find fourth proportional to 824.36, 1,236.18 and 276.62
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.