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Finding the Fourth Proportional to 513.60, 702.48 and 505.92

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Solution

The fourth proportional to 513.60, 702.48 and 505.92 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 702.48 = 505.92 : x
  2. Step 2: Convert to fraction form
    513.60/702.48 = 505.92/x
  3. Step 3: Cross multiply
    513.60x = 702.48 × 505.92
  4. Step 4: Simplify right side
    513.60x = 355,398.68
  5. Step 5: Solve for x
    x = 355,398.68/513.60
  6. Step 6: Final answer
    x = 691.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.