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Finding the Fourth Proportional to 478.24, 713.52 and 462.88

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Solution

The fourth proportional to 478.24, 713.52 and 462.88 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 713.52 = 462.88 : x
  2. Step 2: Convert to fraction form
    478.24/713.52 = 462.88/x
  3. Step 3: Cross multiply
    478.24x = 713.52 × 462.88
  4. Step 4: Simplify right side
    478.24x = 330,274.14
  5. Step 5: Solve for x
    x = 330,274.14/478.24
  6. Step 6: Final answer
    x = 690.60

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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.