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Finding the Fourth Proportional to 587.23, 876.56 and 544.40

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Solution

The fourth proportional to 587.23, 876.56 and 544.40 is: 812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.23 : 876.56 = 544.40 : x
  2. Step 2: Convert to fraction form
    587.23/876.56 = 544.40/x
  3. Step 3: Cross multiply
    587.23x = 876.56 × 544.40
  4. Step 4: Simplify right side
    587.23x = 477,204.97
  5. Step 5: Solve for x
    x = 477,204.97/587.23
  6. Step 6: Final answer
    x = 812.63

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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.