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Finding the Fourth Proportional to 732.74, 1,098.09 and 526.39

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Solution

The fourth proportional to 732.74, 1,098.09 and 526.39 is: 788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,098.09 = 526.39 : x
  2. Step 2: Convert to fraction form
    732.74/1,098.09 = 526.39/x
  3. Step 3: Cross multiply
    732.74x = 1,098.09 × 526.39
  4. Step 4: Simplify right side
    732.74x = 578,020.85
  5. Step 5: Solve for x
    x = 578,020.85/732.74
  6. Step 6: Final answer
    x = 788.85

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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.