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Finding the Fourth Proportional to 702.51, 963.66 and 660.59

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Solution

The fourth proportional to 702.51, 963.66 and 660.59 is: 906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.51 : 963.66 = 660.59 : x
  2. Step 2: Convert to fraction form
    702.51/963.66 = 660.59/x
  3. Step 3: Cross multiply
    702.51x = 963.66 × 660.59
  4. Step 4: Simplify right side
    702.51x = 636,585.43
  5. Step 5: Solve for x
    x = 636,585.43/702.51
  6. Step 6: Final answer
    x = 906.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.