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Finding the Fourth Proportional to 587.14, 808.20 and 489.12

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Solution

The fourth proportional to 587.14, 808.20 and 489.12 is: 673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.14 : 808.20 = 489.12 : x
  2. Step 2: Convert to fraction form
    587.14/808.20 = 489.12/x
  3. Step 3: Cross multiply
    587.14x = 808.20 × 489.12
  4. Step 4: Simplify right side
    587.14x = 395,306.78
  5. Step 5: Solve for x
    x = 395,306.78/587.14
  6. Step 6: Final answer
    x = 673.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.