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Finding the Fourth Proportional to 564.47, 842.79 and 558.92

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Solution

The fourth proportional to 564.47, 842.79 and 558.92 is: 834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.47 : 842.79 = 558.92 : x
  2. Step 2: Convert to fraction form
    564.47/842.79 = 558.92/x
  3. Step 3: Cross multiply
    564.47x = 842.79 × 558.92
  4. Step 4: Simplify right side
    564.47x = 471,052.19
  5. Step 5: Solve for x
    x = 471,052.19/564.47
  6. Step 6: Final answer
    x = 834.50

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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.