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Finding the Fourth Proportional to 923.52, 1,274.16 and 525.15

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Solution

The fourth proportional to 923.52, 1,274.16 and 525.15 is: 724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.52 : 1,274.16 = 525.15 : x
  2. Step 2: Convert to fraction form
    923.52/1,274.16 = 525.15/x
  3. Step 3: Cross multiply
    923.52x = 1,274.16 × 525.15
  4. Step 4: Simplify right side
    923.52x = 669,125.12
  5. Step 5: Solve for x
    x = 669,125.12/923.52
  6. Step 6: Final answer
    x = 724.54

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Double scale
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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.