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Finding the Fourth Proportional to 760.20, 1,049.18 and 713.29

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Solution

The fourth proportional to 760.20, 1,049.18 and 713.29 is: 984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,049.18 = 713.29 : x
  2. Step 2: Convert to fraction form
    760.20/1,049.18 = 713.29/x
  3. Step 3: Cross multiply
    760.20x = 1,049.18 × 713.29
  4. Step 4: Simplify right side
    760.20x = 748,369.39
  5. Step 5: Solve for x
    x = 748,369.39/760.20
  6. Step 6: Final answer
    x = 984.44

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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.