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Finding the Fourth Proportional to 912.67, 1,259.75 and 747.28

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Solution

The fourth proportional to 912.67, 1,259.75 and 747.28 is: 1,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.67 : 1,259.75 = 747.28 : x
  2. Step 2: Convert to fraction form
    912.67/1,259.75 = 747.28/x
  3. Step 3: Cross multiply
    912.67x = 1,259.75 × 747.28
  4. Step 4: Simplify right side
    912.67x = 941,382.34
  5. Step 5: Solve for x
    x = 941,382.34/912.67
  6. Step 6: Final answer
    x = 1,031.46

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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.