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Finding the Fourth Proportional to 916.40, 1,372.68 and 659.12

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Solution

The fourth proportional to 916.40, 1,372.68 and 659.12 is: 987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.40 : 1,372.68 = 659.12 : x
  2. Step 2: Convert to fraction form
    916.40/1,372.68 = 659.12/x
  3. Step 3: Cross multiply
    916.40x = 1,372.68 × 659.12
  4. Step 4: Simplify right side
    916.40x = 904,760.84
  5. Step 5: Solve for x
    x = 904,760.84/916.40
  6. Step 6: Final answer
    x = 987.30

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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.