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Finding the Fourth Proportional to 502.34, 691.93 and 354.72

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Solution

The fourth proportional to 502.34, 691.93 and 354.72 is: 488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 691.93 = 354.72 : x
  2. Step 2: Convert to fraction form
    502.34/691.93 = 354.72/x
  3. Step 3: Cross multiply
    502.34x = 691.93 × 354.72
  4. Step 4: Simplify right side
    502.34x = 245,437.06
  5. Step 5: Solve for x
    x = 245,437.06/502.34
  6. Step 6: Final answer
    x = 488.59

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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.