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Finding the Fourth Proportional to 502.85, 752.37 and 339.72

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Solution

The fourth proportional to 502.85, 752.37 and 339.72 is: 508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.85 : 752.37 = 339.72 : x
  2. Step 2: Convert to fraction form
    502.85/752.37 = 339.72/x
  3. Step 3: Cross multiply
    502.85x = 752.37 × 339.72
  4. Step 4: Simplify right side
    502.85x = 255,595.14
  5. Step 5: Solve for x
    x = 255,595.14/502.85
  6. Step 6: Final answer
    x = 508.30

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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.