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Finding the Fourth Proportional to 907.97, 1,252.55 and 558.05

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Solution

The fourth proportional to 907.97, 1,252.55 and 558.05 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.97 : 1,252.55 = 558.05 : x
  2. Step 2: Convert to fraction form
    907.97/1,252.55 = 558.05/x
  3. Step 3: Cross multiply
    907.97x = 1,252.55 × 558.05
  4. Step 4: Simplify right side
    907.97x = 698,985.53
  5. Step 5: Solve for x
    x = 698,985.53/907.97
  6. Step 6: Final answer
    x = 769.83

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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.