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Finding the Fourth Proportional to 732.98, 1,090.04 and 709.90

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Solution

The fourth proportional to 732.98, 1,090.04 and 709.90 is: 1,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.98 : 1,090.04 = 709.90 : x
  2. Step 2: Convert to fraction form
    732.98/1,090.04 = 709.90/x
  3. Step 3: Cross multiply
    732.98x = 1,090.04 × 709.90
  4. Step 4: Simplify right side
    732.98x = 773,819.40
  5. Step 5: Solve for x
    x = 773,819.40/732.98
  6. Step 6: Final answer
    x = 1,055.72

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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.