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Finding the Fourth Proportional to 906.53, 1,358.85 and 358.49

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Solution

The fourth proportional to 906.53, 1,358.85 and 358.49 is: 537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.53 : 1,358.85 = 358.49 : x
  2. Step 2: Convert to fraction form
    906.53/1,358.85 = 358.49/x
  3. Step 3: Cross multiply
    906.53x = 1,358.85 × 358.49
  4. Step 4: Simplify right side
    906.53x = 487,127.34
  5. Step 5: Solve for x
    x = 487,127.34/906.53
  6. Step 6: Final answer
    x = 537.36

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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.