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Finding the Fourth Proportional to 907.96, 1,252.96 and 534.97

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Solution

The fourth proportional to 907.96, 1,252.96 and 534.97 is: 738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.96 : 1,252.96 = 534.97 : x
  2. Step 2: Convert to fraction form
    907.96/1,252.96 = 534.97/x
  3. Step 3: Cross multiply
    907.96x = 1,252.96 × 534.97
  4. Step 4: Simplify right side
    907.96x = 670,296.01
  5. Step 5: Solve for x
    x = 670,296.01/907.96
  6. Step 6: Final answer
    x = 738.24

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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.