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Finding the Fourth Proportional to 478.20, 713.61 and 462.41

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Solution

The fourth proportional to 478.20, 713.61 and 462.41 is: 690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.20 : 713.61 = 462.41 : x
  2. Step 2: Convert to fraction form
    478.20/713.61 = 462.41/x
  3. Step 3: Cross multiply
    478.20x = 713.61 × 462.41
  4. Step 4: Simplify right side
    478.20x = 329,979.51
  5. Step 5: Solve for x
    x = 329,979.51/478.20
  6. Step 6: Final answer
    x = 690.04

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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.