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Finding the Fourth Proportional to 564.29, 844.90 and 426.93

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Solution

The fourth proportional to 564.29, 844.90 and 426.93 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.29 : 844.90 = 426.93 : x
  2. Step 2: Convert to fraction form
    564.29/844.90 = 426.93/x
  3. Step 3: Cross multiply
    564.29x = 844.90 × 426.93
  4. Step 4: Simplify right side
    564.29x = 360,712.09
  5. Step 5: Solve for x
    x = 360,712.09/564.29
  6. Step 6: Final answer
    x = 639.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.