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Finding the Fourth Proportional to 702.01, 967.68 and 515.23

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Solution

The fourth proportional to 702.01, 967.68 and 515.23 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.01 : 967.68 = 515.23 : x
  2. Step 2: Convert to fraction form
    702.01/967.68 = 515.23/x
  3. Step 3: Cross multiply
    702.01x = 967.68 × 515.23
  4. Step 4: Simplify right side
    702.01x = 498,577.77
  5. Step 5: Solve for x
    x = 498,577.77/702.01
  6. Step 6: Final answer
    x = 710.21

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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.