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Finding the Fourth Proportional to 702.37, 1,052.35 and 496.54

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Solution

The fourth proportional to 702.37, 1,052.35 and 496.54 is: 743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.37 : 1,052.35 = 496.54 : x
  2. Step 2: Convert to fraction form
    702.37/1,052.35 = 496.54/x
  3. Step 3: Cross multiply
    702.37x = 1,052.35 × 496.54
  4. Step 4: Simplify right side
    702.37x = 522,531.24
  5. Step 5: Solve for x
    x = 522,531.24/702.37
  6. Step 6: Final answer
    x = 743.96

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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.