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Finding the Fourth Proportional to 564.90, 843.25 and 488.35

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Solution

The fourth proportional to 564.90, 843.25 and 488.35 is: 728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 843.25 = 488.35 : x
  2. Step 2: Convert to fraction form
    564.90/843.25 = 488.35/x
  3. Step 3: Cross multiply
    564.90x = 843.25 × 488.35
  4. Step 4: Simplify right side
    564.90x = 411,801.14
  5. Step 5: Solve for x
    x = 411,801.14/564.90
  6. Step 6: Final answer
    x = 728.98

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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.