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Finding the Fourth Proportional to 509.40, 702.72 and 332.46

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Solution

The fourth proportional to 509.40, 702.72 and 332.46 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 702.72 = 332.46 : x
  2. Step 2: Convert to fraction form
    509.40/702.72 = 332.46/x
  3. Step 3: Cross multiply
    509.40x = 702.72 × 332.46
  4. Step 4: Simplify right side
    509.40x = 233,626.29
  5. Step 5: Solve for x
    x = 233,626.29/509.40
  6. Step 6: Final answer
    x = 458.63

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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.