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Finding the Fourth Proportional to 648.69, 968.57 and 587.13

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Solution

The fourth proportional to 648.69, 968.57 and 587.13 is: 876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 968.57 = 587.13 : x
  2. Step 2: Convert to fraction form
    648.69/968.57 = 587.13/x
  3. Step 3: Cross multiply
    648.69x = 968.57 × 587.13
  4. Step 4: Simplify right side
    648.69x = 568,676.50
  5. Step 5: Solve for x
    x = 568,676.50/648.69
  6. Step 6: Final answer
    x = 876.65

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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.