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Finding the Fourth Proportional to 907.31, 1,252.68 and 571.70

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Solution

The fourth proportional to 907.31, 1,252.68 and 571.70 is: 789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.31 : 1,252.68 = 571.70 : x
  2. Step 2: Convert to fraction form
    907.31/1,252.68 = 571.70/x
  3. Step 3: Cross multiply
    907.31x = 1,252.68 × 571.70
  4. Step 4: Simplify right side
    907.31x = 716,157.16
  5. Step 5: Solve for x
    x = 716,157.16/907.31
  6. Step 6: Final answer
    x = 789.32

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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.