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Finding the Fourth Proportional to 907.68, 1,359.92 and 633.24

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Solution

The fourth proportional to 907.68, 1,359.92 and 633.24 is: 948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.68 : 1,359.92 = 633.24 : x
  2. Step 2: Convert to fraction form
    907.68/1,359.92 = 633.24/x
  3. Step 3: Cross multiply
    907.68x = 1,359.92 × 633.24
  4. Step 4: Simplify right side
    907.68x = 861,155.74
  5. Step 5: Solve for x
    x = 861,155.74/907.68
  6. Step 6: Final answer
    x = 948.74

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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.