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Finding the Fourth Proportional to 611.76, 844.08 and 415.20

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Solution

The fourth proportional to 611.76, 844.08 and 415.20 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.76 : 844.08 = 415.20 : x
  2. Step 2: Convert to fraction form
    611.76/844.08 = 415.20/x
  3. Step 3: Cross multiply
    611.76x = 844.08 × 415.20
  4. Step 4: Simplify right side
    611.76x = 350,462.02
  5. Step 5: Solve for x
    x = 350,462.02/611.76
  6. Step 6: Final answer
    x = 572.88

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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.