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Finding the Fourth Proportional to 907.72, 1,253.13 and 730.73

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Solution

The fourth proportional to 907.72, 1,253.13 and 730.73 is: 1,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.72 : 1,253.13 = 730.73 : x
  2. Step 2: Convert to fraction form
    907.72/1,253.13 = 730.73/x
  3. Step 3: Cross multiply
    907.72x = 1,253.13 × 730.73
  4. Step 4: Simplify right side
    907.72x = 915,699.68
  5. Step 5: Solve for x
    x = 915,699.68/907.72
  6. Step 6: Final answer
    x = 1,008.79

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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.