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Finding the Fourth Proportional to 502.81, 693.36 and 392.10

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Solution

The fourth proportional to 502.81, 693.36 and 392.10 is: 540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.81 : 693.36 = 392.10 : x
  2. Step 2: Convert to fraction form
    502.81/693.36 = 392.10/x
  3. Step 3: Cross multiply
    502.81x = 693.36 × 392.10
  4. Step 4: Simplify right side
    502.81x = 271,866.46
  5. Step 5: Solve for x
    x = 271,866.46/502.81
  6. Step 6: Final answer
    x = 540.69

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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.