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Finding the Fourth Proportional to 564.60, 842.28 and 473.88

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Solution

The fourth proportional to 564.60, 842.28 and 473.88 is: 706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 842.28 = 473.88 : x
  2. Step 2: Convert to fraction form
    564.60/842.28 = 473.88/x
  3. Step 3: Cross multiply
    564.60x = 842.28 × 473.88
  4. Step 4: Simplify right side
    564.60x = 399,139.65
  5. Step 5: Solve for x
    x = 399,139.65/564.60
  6. Step 6: Final answer
    x = 706.94

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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.