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Finding the Fourth Proportional to 702.75, 1,045.16 and 688.92

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Solution

The fourth proportional to 702.75, 1,045.16 and 688.92 is: 1,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.75 : 1,045.16 = 688.92 : x
  2. Step 2: Convert to fraction form
    702.75/1,045.16 = 688.92/x
  3. Step 3: Cross multiply
    702.75x = 1,045.16 × 688.92
  4. Step 4: Simplify right side
    702.75x = 720,033.35
  5. Step 5: Solve for x
    x = 720,033.35/702.75
  6. Step 6: Final answer
    x = 1,024.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.