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Finding the Fourth Proportional to 478.13, 715.10 and 443.10

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Solution

The fourth proportional to 478.13, 715.10 and 443.10 is: 662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 715.10 = 443.10 : x
  2. Step 2: Convert to fraction form
    478.13/715.10 = 443.10/x
  3. Step 3: Cross multiply
    478.13x = 715.10 × 443.10
  4. Step 4: Simplify right side
    478.13x = 316,860.70
  5. Step 5: Solve for x
    x = 316,860.70/478.13
  6. Step 6: Final answer
    x = 662.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.