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Finding the Fourth Proportional to 750.66, 1,126.92 and 586.62

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Solution

The fourth proportional to 750.66, 1,126.92 and 586.62 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,126.92 = 586.62 : x
  2. Step 2: Convert to fraction form
    750.66/1,126.92 = 586.62/x
  3. Step 3: Cross multiply
    750.66x = 1,126.92 × 586.62
  4. Step 4: Simplify right side
    750.66x = 661,073.81
  5. Step 5: Solve for x
    x = 661,073.81/750.66
  6. Step 6: Final answer
    x = 880.66

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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.