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Finding the Fourth Proportional to 584.40, 876.14 and 398.82

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Solution

The fourth proportional to 584.40, 876.14 and 398.82 is: 597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 876.14 = 398.82 : x
  2. Step 2: Convert to fraction form
    584.40/876.14 = 398.82/x
  3. Step 3: Cross multiply
    584.40x = 876.14 × 398.82
  4. Step 4: Simplify right side
    584.40x = 349,422.15
  5. Step 5: Solve for x
    x = 349,422.15/584.40
  6. Step 6: Final answer
    x = 597.92

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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.