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Finding the Fourth Proportional to 702.70, 1,053.45 and 496.62

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Solution

The fourth proportional to 702.70, 1,053.45 and 496.62 is: 744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.70 : 1,053.45 = 496.62 : x
  2. Step 2: Convert to fraction form
    702.70/1,053.45 = 496.62/x
  3. Step 3: Cross multiply
    702.70x = 1,053.45 × 496.62
  4. Step 4: Simplify right side
    702.70x = 523,164.34
  5. Step 5: Solve for x
    x = 523,164.34/702.70
  6. Step 6: Final answer
    x = 744.51

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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.