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Finding the Fourth Proportional to 587.35, 879.71 and 576.06

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Solution

The fourth proportional to 587.35, 879.71 and 576.06 is: 862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.35 : 879.71 = 576.06 : x
  2. Step 2: Convert to fraction form
    587.35/879.71 = 576.06/x
  3. Step 3: Cross multiply
    587.35x = 879.71 × 576.06
  4. Step 4: Simplify right side
    587.35x = 506,767.75
  5. Step 5: Solve for x
    x = 506,767.75/587.35
  6. Step 6: Final answer
    x = 862.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.