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Finding the Fourth Proportional to 732.17, 1,005.01 and 647.42

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Solution

The fourth proportional to 732.17, 1,005.01 and 647.42 is: 888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.17 : 1,005.01 = 647.42 : x
  2. Step 2: Convert to fraction form
    732.17/1,005.01 = 647.42/x
  3. Step 3: Cross multiply
    732.17x = 1,005.01 × 647.42
  4. Step 4: Simplify right side
    732.17x = 650,656.93
  5. Step 5: Solve for x
    x = 650,656.93/732.17
  6. Step 6: Final answer
    x = 888.68

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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.