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Finding the Fourth Proportional to 676.04, 932.16 and 509.72

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Solution

The fourth proportional to 676.04, 932.16 and 509.72 is: 702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.04 : 932.16 = 509.72 : x
  2. Step 2: Convert to fraction form
    676.04/932.16 = 509.72/x
  3. Step 3: Cross multiply
    676.04x = 932.16 × 509.72
  4. Step 4: Simplify right side
    676.04x = 475,140.60
  5. Step 5: Solve for x
    x = 475,140.60/676.04
  6. Step 6: Final answer
    x = 702.83

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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.