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Finding the Fourth Proportional to 907.03, 1,251.30 and 557.92

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Solution

The fourth proportional to 907.03, 1,251.30 and 557.92 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.03 : 1,251.30 = 557.92 : x
  2. Step 2: Convert to fraction form
    907.03/1,251.30 = 557.92/x
  3. Step 3: Cross multiply
    907.03x = 1,251.30 × 557.92
  4. Step 4: Simplify right side
    907.03x = 698,125.30
  5. Step 5: Solve for x
    x = 698,125.30/907.03
  6. Step 6: Final answer
    x = 769.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.