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Finding the Fourth Proportional to 476.79, 712.04 and 411.92

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Solution

The fourth proportional to 476.79, 712.04 and 411.92 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.79 : 712.04 = 411.92 : x
  2. Step 2: Convert to fraction form
    476.79/712.04 = 411.92/x
  3. Step 3: Cross multiply
    476.79x = 712.04 × 411.92
  4. Step 4: Simplify right side
    476.79x = 293,303.52
  5. Step 5: Solve for x
    x = 293,303.52/476.79
  6. Step 6: Final answer
    x = 615.16

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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.