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Finding the Fourth Proportional to 702.89, 1,047.32 and 671.45

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Solution

The fourth proportional to 702.89, 1,047.32 and 671.45 is: 1,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.89 : 1,047.32 = 671.45 : x
  2. Step 2: Convert to fraction form
    702.89/1,047.32 = 671.45/x
  3. Step 3: Cross multiply
    702.89x = 1,047.32 × 671.45
  4. Step 4: Simplify right side
    702.89x = 703,223.01
  5. Step 5: Solve for x
    x = 703,223.01/702.89
  6. Step 6: Final answer
    x = 1,000.47

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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.