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Finding the Fourth Proportional to 824.77, 1,132.13 and 750.66

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Solution

The fourth proportional to 824.77, 1,132.13 and 750.66 is: 1,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,132.13 = 750.66 : x
  2. Step 2: Convert to fraction form
    824.77/1,132.13 = 750.66/x
  3. Step 3: Cross multiply
    824.77x = 1,132.13 × 750.66
  4. Step 4: Simplify right side
    824.77x = 849,844.71
  5. Step 5: Solve for x
    x = 849,844.71/824.77
  6. Step 6: Final answer
    x = 1,030.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.