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Finding the Fourth Proportional to 587.61, 876.23 and 582.34

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Solution

The fourth proportional to 587.61, 876.23 and 582.34 is: 868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 876.23 = 582.34 : x
  2. Step 2: Convert to fraction form
    587.61/876.23 = 582.34/x
  3. Step 3: Cross multiply
    587.61x = 876.23 × 582.34
  4. Step 4: Simplify right side
    587.61x = 510,267.01
  5. Step 5: Solve for x
    x = 510,267.01/587.61
  6. Step 6: Final answer
    x = 868.37

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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.