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Finding the Fourth Proportional to 760.43, 1,049.64 and 685.28

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Solution

The fourth proportional to 760.43, 1,049.64 and 685.28 is: 945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.43 : 1,049.64 = 685.28 : x
  2. Step 2: Convert to fraction form
    760.43/1,049.64 = 685.28/x
  3. Step 3: Cross multiply
    760.43x = 1,049.64 × 685.28
  4. Step 4: Simplify right side
    760.43x = 719,297.30
  5. Step 5: Solve for x
    x = 719,297.30/760.43
  6. Step 6: Final answer
    x = 945.91

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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.