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Finding the Fourth Proportional to 415.08, 618.75 and 407.79

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Solution

The fourth proportional to 415.08, 618.75 and 407.79 is: 607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.08 : 618.75 = 407.79 : x
  2. Step 2: Convert to fraction form
    415.08/618.75 = 407.79/x
  3. Step 3: Cross multiply
    415.08x = 618.75 × 407.79
  4. Step 4: Simplify right side
    415.08x = 252,320.06
  5. Step 5: Solve for x
    x = 252,320.06/415.08
  6. Step 6: Final answer
    x = 607.88

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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.