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Finding the Fourth Proportional to 648.90, 977.71 and 587.27

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Solution

The fourth proportional to 648.90, 977.71 and 587.27 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.90 : 977.71 = 587.27 : x
  2. Step 2: Convert to fraction form
    648.90/977.71 = 587.27/x
  3. Step 3: Cross multiply
    648.90x = 977.71 × 587.27
  4. Step 4: Simplify right side
    648.90x = 574,179.75
  5. Step 5: Solve for x
    x = 574,179.75/648.90
  6. Step 6: Final answer
    x = 884.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.