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Finding the Fourth Proportional to 732.07, 1,091.98 and 654.31

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Solution

The fourth proportional to 732.07, 1,091.98 and 654.31 is: 975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.07 : 1,091.98 = 654.31 : x
  2. Step 2: Convert to fraction form
    732.07/1,091.98 = 654.31/x
  3. Step 3: Cross multiply
    732.07x = 1,091.98 × 654.31
  4. Step 4: Simplify right side
    732.07x = 714,493.43
  5. Step 5: Solve for x
    x = 714,493.43/732.07
  6. Step 6: Final answer
    x = 975.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.