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Finding the Fourth Proportional to 712.01, 1,068.23 and 468.25

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Solution

The fourth proportional to 712.01, 1,068.23 and 468.25 is: 702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.01 : 1,068.23 = 468.25 : x
  2. Step 2: Convert to fraction form
    712.01/1,068.23 = 468.25/x
  3. Step 3: Cross multiply
    712.01x = 1,068.23 × 468.25
  4. Step 4: Simplify right side
    712.01x = 500,191.02
  5. Step 5: Solve for x
    x = 500,191.02/712.01
  6. Step 6: Final answer
    x = 702.51

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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.