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Finding the Fourth Proportional to 906.87, 1,359.45 and 742.71

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Solution

The fourth proportional to 906.87, 1,359.45 and 742.71 is: 1,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.87 : 1,359.45 = 742.71 : x
  2. Step 2: Convert to fraction form
    906.87/1,359.45 = 742.71/x
  3. Step 3: Cross multiply
    906.87x = 1,359.45 × 742.71
  4. Step 4: Simplify right side
    906.87x = 1,009,677.11
  5. Step 5: Solve for x
    x = 1,009,677.11/906.87
  6. Step 6: Final answer
    x = 1,113.36

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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.