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Finding the Fourth Proportional to 816.63, 1,127.28 and 580.61

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Solution

The fourth proportional to 816.63, 1,127.28 and 580.61 is: 801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.63 : 1,127.28 = 580.61 : x
  2. Step 2: Convert to fraction form
    816.63/1,127.28 = 580.61/x
  3. Step 3: Cross multiply
    816.63x = 1,127.28 × 580.61
  4. Step 4: Simplify right side
    816.63x = 654,510.04
  5. Step 5: Solve for x
    x = 654,510.04/816.63
  6. Step 6: Final answer
    x = 801.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.