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Finding the Fourth Proportional to 587.48, 876.25 and 553.64

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Solution

The fourth proportional to 587.48, 876.25 and 553.64 is: 825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 876.25 = 553.64 : x
  2. Step 2: Convert to fraction form
    587.48/876.25 = 553.64/x
  3. Step 3: Cross multiply
    587.48x = 876.25 × 553.64
  4. Step 4: Simplify right side
    587.48x = 485,127.05
  5. Step 5: Solve for x
    x = 485,127.05/587.48
  6. Step 6: Final answer
    x = 825.78

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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.