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Finding the Fourth Proportional to 462.91, 693.14 and 339.43

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Solution

The fourth proportional to 462.91, 693.14 and 339.43 is: 508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.91 : 693.14 = 339.43 : x
  2. Step 2: Convert to fraction form
    462.91/693.14 = 339.43/x
  3. Step 3: Cross multiply
    462.91x = 693.14 × 339.43
  4. Step 4: Simplify right side
    462.91x = 235,272.51
  5. Step 5: Solve for x
    x = 235,272.51/462.91
  6. Step 6: Final answer
    x = 508.25

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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.