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Finding the Fourth Proportional to 416.04, 619.17 and 414.76

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Solution

The fourth proportional to 416.04, 619.17 and 414.76 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 619.17 = 414.76 : x
  2. Step 2: Convert to fraction form
    416.04/619.17 = 414.76/x
  3. Step 3: Cross multiply
    416.04x = 619.17 × 414.76
  4. Step 4: Simplify right side
    416.04x = 256,806.95
  5. Step 5: Solve for x
    x = 256,806.95/416.04
  6. Step 6: Final answer
    x = 617.27

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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.