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Finding the Fourth Proportional to 907.64, 1,252.18 and 658.41

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Solution

The fourth proportional to 907.64, 1,252.18 and 658.41 is: 908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.64 : 1,252.18 = 658.41 : x
  2. Step 2: Convert to fraction form
    907.64/1,252.18 = 658.41/x
  3. Step 3: Cross multiply
    907.64x = 1,252.18 × 658.41
  4. Step 4: Simplify right side
    907.64x = 824,446.19
  5. Step 5: Solve for x
    x = 824,446.19/907.64
  6. Step 6: Final answer
    x = 908.34

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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.