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Finding the Fourth Proportional to 702.93, 1,053.72 and 642.80

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Solution

The fourth proportional to 702.93, 1,053.72 and 642.80 is: 963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.93 : 1,053.72 = 642.80 : x
  2. Step 2: Convert to fraction form
    702.93/1,053.72 = 642.80/x
  3. Step 3: Cross multiply
    702.93x = 1,053.72 × 642.80
  4. Step 4: Simplify right side
    702.93x = 677,325.95
  5. Step 5: Solve for x
    x = 677,325.95/702.93
  6. Step 6: Final answer
    x = 963.58

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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.