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Finding the Fourth Proportional to 732.47, 1,089.29 and 709.40

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Solution

The fourth proportional to 732.47, 1,089.29 and 709.40 is: 1,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.47 : 1,089.29 = 709.40 : x
  2. Step 2: Convert to fraction form
    732.47/1,089.29 = 709.40/x
  3. Step 3: Cross multiply
    732.47x = 1,089.29 × 709.40
  4. Step 4: Simplify right side
    732.47x = 772,738.78
  5. Step 5: Solve for x
    x = 772,738.78/732.47
  6. Step 6: Final answer
    x = 1,054.98

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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.