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Finding the Fourth Proportional to 587.91, 875.90 and 582.15

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Solution

The fourth proportional to 587.91, 875.90 and 582.15 is: 867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.91 : 875.90 = 582.15 : x
  2. Step 2: Convert to fraction form
    587.91/875.90 = 582.15/x
  3. Step 3: Cross multiply
    587.91x = 875.90 × 582.15
  4. Step 4: Simplify right side
    587.91x = 509,902.27
  5. Step 5: Solve for x
    x = 509,902.27/587.91
  6. Step 6: Final answer
    x = 867.31

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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.