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Finding the Fourth Proportional to 798.55, 1,102.78 and 659.13

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Solution

The fourth proportional to 798.55, 1,102.78 and 659.13 is: 910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.55 : 1,102.78 = 659.13 : x
  2. Step 2: Convert to fraction form
    798.55/1,102.78 = 659.13/x
  3. Step 3: Cross multiply
    798.55x = 1,102.78 × 659.13
  4. Step 4: Simplify right side
    798.55x = 726,875.38
  5. Step 5: Solve for x
    x = 726,875.38/798.55
  6. Step 6: Final answer
    x = 910.24

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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.