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Finding the Fourth Proportional to 509.49, 702.72 and 332.11

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Solution

The fourth proportional to 509.49, 702.72 and 332.11 is: 458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.49 : 702.72 = 332.11 : x
  2. Step 2: Convert to fraction form
    509.49/702.72 = 332.11/x
  3. Step 3: Cross multiply
    509.49x = 702.72 × 332.11
  4. Step 4: Simplify right side
    509.49x = 233,380.34
  5. Step 5: Solve for x
    x = 233,380.34/509.49
  6. Step 6: Final answer
    x = 458.07

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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.