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Finding the Fourth Proportional to 760.62, 1,134.96 and 714.18

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Solution

The fourth proportional to 760.62, 1,134.96 and 714.18 is: 1,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.62 : 1,134.96 = 714.18 : x
  2. Step 2: Convert to fraction form
    760.62/1,134.96 = 714.18/x
  3. Step 3: Cross multiply
    760.62x = 1,134.96 × 714.18
  4. Step 4: Simplify right side
    760.62x = 810,565.73
  5. Step 5: Solve for x
    x = 810,565.73/760.62
  6. Step 6: Final answer
    x = 1,065.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.