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Finding the Fourth Proportional to 760.79, 1,138.19 and 586.14

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Solution

The fourth proportional to 760.79, 1,138.19 and 586.14 is: 876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.79 : 1,138.19 = 586.14 : x
  2. Step 2: Convert to fraction form
    760.79/1,138.19 = 586.14/x
  3. Step 3: Cross multiply
    760.79x = 1,138.19 × 586.14
  4. Step 4: Simplify right side
    760.79x = 667,131.49
  5. Step 5: Solve for x
    x = 667,131.49/760.79
  6. Step 6: Final answer
    x = 876.89

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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.