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Finding the Fourth Proportional to 478.72, 718.47 and 205.12

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Solution

The fourth proportional to 478.72, 718.47 and 205.12 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.72 : 718.47 = 205.12 : x
  2. Step 2: Convert to fraction form
    478.72/718.47 = 205.12/x
  3. Step 3: Cross multiply
    478.72x = 718.47 × 205.12
  4. Step 4: Simplify right side
    478.72x = 147,372.57
  5. Step 5: Solve for x
    x = 147,372.57/478.72
  6. Step 6: Final answer
    x = 307.85

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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.