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Finding the Fourth Proportional to 760.43, 1,049.22 and 524.59

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Solution

The fourth proportional to 760.43, 1,049.22 and 524.59 is: 723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.43 : 1,049.22 = 524.59 : x
  2. Step 2: Convert to fraction form
    760.43/1,049.22 = 524.59/x
  3. Step 3: Cross multiply
    760.43x = 1,049.22 × 524.59
  4. Step 4: Simplify right side
    760.43x = 550,407.70
  5. Step 5: Solve for x
    x = 550,407.70/760.43
  6. Step 6: Final answer
    x = 723.81

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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.