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Finding the Fourth Proportional to 778.17, 1,073.25 and 482.88

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Solution

The fourth proportional to 778.17, 1,073.25 and 482.88 is: 665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.17 : 1,073.25 = 482.88 : x
  2. Step 2: Convert to fraction form
    778.17/1,073.25 = 482.88/x
  3. Step 3: Cross multiply
    778.17x = 1,073.25 × 482.88
  4. Step 4: Simplify right side
    778.17x = 518,250.96
  5. Step 5: Solve for x
    x = 518,250.96/778.17
  6. Step 6: Final answer
    x = 665.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.