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Finding the Fourth Proportional to 760.97, 1,043.29 and 747.13

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Solution

The fourth proportional to 760.97, 1,043.29 and 747.13 is: 1,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.97 : 1,043.29 = 747.13 : x
  2. Step 2: Convert to fraction form
    760.97/1,043.29 = 747.13/x
  3. Step 3: Cross multiply
    760.97x = 1,043.29 × 747.13
  4. Step 4: Simplify right side
    760.97x = 779,473.26
  5. Step 5: Solve for x
    x = 779,473.26/760.97
  6. Step 6: Final answer
    x = 1,024.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.