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Finding the Fourth Proportional to 564.45, 842.11 and 502.89

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Solution

The fourth proportional to 564.45, 842.11 and 502.89 is: 750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 842.11 = 502.89 : x
  2. Step 2: Convert to fraction form
    564.45/842.11 = 502.89/x
  3. Step 3: Cross multiply
    564.45x = 842.11 × 502.89
  4. Step 4: Simplify right side
    564.45x = 423,488.70
  5. Step 5: Solve for x
    x = 423,488.70/564.45
  6. Step 6: Final answer
    x = 750.27

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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.