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Finding the Fourth Proportional to 760.39, 1,141.90 and 725.76

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Solution

The fourth proportional to 760.39, 1,141.90 and 725.76 is: 1,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.39 : 1,141.90 = 725.76 : x
  2. Step 2: Convert to fraction form
    760.39/1,141.90 = 725.76/x
  3. Step 3: Cross multiply
    760.39x = 1,141.90 × 725.76
  4. Step 4: Simplify right side
    760.39x = 828,743.53
  5. Step 5: Solve for x
    x = 828,743.53/760.39
  6. Step 6: Final answer
    x = 1,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.