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Finding the Fourth Proportional to 482.27, 718.76 and 478.24

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Solution

The fourth proportional to 482.27, 718.76 and 478.24 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.27 : 718.76 = 478.24 : x
  2. Step 2: Convert to fraction form
    482.27/718.76 = 478.24/x
  3. Step 3: Cross multiply
    482.27x = 718.76 × 478.24
  4. Step 4: Simplify right side
    482.27x = 343,740.53
  5. Step 5: Solve for x
    x = 343,740.53/482.27
  6. Step 6: Final answer
    x = 712.76

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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.