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Finding the Fourth Proportional to 564.13, 775.71 and 546.83

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Solution

The fourth proportional to 564.13, 775.71 and 546.83 is: 751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.13 : 775.71 = 546.83 : x
  2. Step 2: Convert to fraction form
    564.13/775.71 = 546.83/x
  3. Step 3: Cross multiply
    564.13x = 775.71 × 546.83
  4. Step 4: Simplify right side
    564.13x = 424,177.62
  5. Step 5: Solve for x
    x = 424,177.62/564.13
  6. Step 6: Final answer
    x = 751.92

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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.