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Finding the Fourth Proportional to 702.50, 1,052.43 and 649.46

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Solution

The fourth proportional to 702.50, 1,052.43 and 649.46 is: 972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.50 : 1,052.43 = 649.46 : x
  2. Step 2: Convert to fraction form
    702.50/1,052.43 = 649.46/x
  3. Step 3: Cross multiply
    702.50x = 1,052.43 × 649.46
  4. Step 4: Simplify right side
    702.50x = 683,511.19
  5. Step 5: Solve for x
    x = 683,511.19/702.50
  6. Step 6: Final answer
    x = 972.97

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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.