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Finding the Fourth Proportional to 564.77, 843.07 and 488.23

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Solution

The fourth proportional to 564.77, 843.07 and 488.23 is: 728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.77 : 843.07 = 488.23 : x
  2. Step 2: Convert to fraction form
    564.77/843.07 = 488.23/x
  3. Step 3: Cross multiply
    564.77x = 843.07 × 488.23
  4. Step 4: Simplify right side
    564.77x = 411,605.41
  5. Step 5: Solve for x
    x = 411,605.41/564.77
  6. Step 6: Final answer
    x = 728.80

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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.