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Finding the Fourth Proportional to 564.66, 842.19 and 537.42

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Solution

The fourth proportional to 564.66, 842.19 and 537.42 is: 801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 842.19 = 537.42 : x
  2. Step 2: Convert to fraction form
    564.66/842.19 = 537.42/x
  3. Step 3: Cross multiply
    564.66x = 842.19 × 537.42
  4. Step 4: Simplify right side
    564.66x = 452,609.75
  5. Step 5: Solve for x
    x = 452,609.75/564.66
  6. Step 6: Final answer
    x = 801.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.