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Finding the Fourth Proportional to 502.64, 749.54 and 468.02

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Solution

The fourth proportional to 502.64, 749.54 and 468.02 is: 697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 749.54 = 468.02 : x
  2. Step 2: Convert to fraction form
    502.64/749.54 = 468.02/x
  3. Step 3: Cross multiply
    502.64x = 749.54 × 468.02
  4. Step 4: Simplify right side
    502.64x = 350,799.71
  5. Step 5: Solve for x
    x = 350,799.71/502.64
  6. Step 6: Final answer
    x = 697.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.