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Finding the Fourth Proportional to 702.15, 966.03 and 685.74

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Solution

The fourth proportional to 702.15, 966.03 and 685.74 is: 943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.15 : 966.03 = 685.74 : x
  2. Step 2: Convert to fraction form
    702.15/966.03 = 685.74/x
  3. Step 3: Cross multiply
    702.15x = 966.03 × 685.74
  4. Step 4: Simplify right side
    702.15x = 662,445.41
  5. Step 5: Solve for x
    x = 662,445.41/702.15
  6. Step 6: Final answer
    x = 943.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.