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Finding the Fourth Proportional to 760.92, 1,139.22 and 586.68

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Solution

The fourth proportional to 760.92, 1,139.22 and 586.68 is: 878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.92 : 1,139.22 = 586.68 : x
  2. Step 2: Convert to fraction form
    760.92/1,139.22 = 586.68/x
  3. Step 3: Cross multiply
    760.92x = 1,139.22 × 586.68
  4. Step 4: Simplify right side
    760.92x = 668,357.59
  5. Step 5: Solve for x
    x = 668,357.59/760.92
  6. Step 6: Final answer
    x = 878.35

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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.