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Finding the Fourth Proportional to 502.62, 756.65 and 359.34

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Solution

The fourth proportional to 502.62, 756.65 and 359.34 is: 540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.62 : 756.65 = 359.34 : x
  2. Step 2: Convert to fraction form
    502.62/756.65 = 359.34/x
  3. Step 3: Cross multiply
    502.62x = 756.65 × 359.34
  4. Step 4: Simplify right side
    502.62x = 271,892.81
  5. Step 5: Solve for x
    x = 271,892.81/502.62
  6. Step 6: Final answer
    x = 540.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.