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Finding the Fourth Proportional to 648.91, 977.69 and 587.29

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Solution

The fourth proportional to 648.91, 977.69 and 587.29 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.91 : 977.69 = 587.29 : x
  2. Step 2: Convert to fraction form
    648.91/977.69 = 587.29/x
  3. Step 3: Cross multiply
    648.91x = 977.69 × 587.29
  4. Step 4: Simplify right side
    648.91x = 574,186.58
  5. Step 5: Solve for x
    x = 574,186.58/648.91
  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.