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Finding the Fourth Proportional to 1,309.14, 1,962.90 and 732.42

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Solution

The fourth proportional to 1,309.14, 1,962.90 and 732.42 is: 1,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.14 : 1,962.90 = 732.42 : x
  2. Step 2: Convert to fraction form
    1,309.14/1,962.90 = 732.42/x
  3. Step 3: Cross multiply
    1,309.14x = 1,962.90 × 732.42
  4. Step 4: Simplify right side
    1,309.14x = 1,437,667.22
  5. Step 5: Solve for x
    x = 1,437,667.22/1,309.14
  6. Step 6: Final answer
    x = 1,098.18

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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.