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Finding the Fourth Proportional to 907.34, 1,252.13 and 817.79

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Solution

The fourth proportional to 907.34, 1,252.13 and 817.79 is: 1,128.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.34 : 1,252.13 = 817.79 : x
  2. Step 2: Convert to fraction form
    907.34/1,252.13 = 817.79/x
  3. Step 3: Cross multiply
    907.34x = 1,252.13 × 817.79
  4. Step 4: Simplify right side
    907.34x = 1,023,969.04
  5. Step 5: Solve for x
    x = 1,023,969.04/907.34
  6. Step 6: Final answer
    x = 1,128.55

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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.