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Finding the Fourth Proportional to 411.16, 619.59 and 407.48

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Solution

The fourth proportional to 411.16, 619.59 and 407.48 is: 614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.16 : 619.59 = 407.48 : x
  2. Step 2: Convert to fraction form
    411.16/619.59 = 407.48/x
  3. Step 3: Cross multiply
    411.16x = 619.59 × 407.48
  4. Step 4: Simplify right side
    411.16x = 252,470.53
  5. Step 5: Solve for x
    x = 252,470.53/411.16
  6. Step 6: Final answer
    x = 614.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.