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Finding the Fourth Proportional to 906.68, 1,358.42 and 632.24

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Solution

The fourth proportional to 906.68, 1,358.42 and 632.24 is: 947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.68 : 1,358.42 = 632.24 : x
  2. Step 2: Convert to fraction form
    906.68/1,358.42 = 632.24/x
  3. Step 3: Cross multiply
    906.68x = 1,358.42 × 632.24
  4. Step 4: Simplify right side
    906.68x = 858,847.46
  5. Step 5: Solve for x
    x = 858,847.46/906.68
  6. Step 6: Final answer
    x = 947.24

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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.