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Finding the Fourth Proportional to 778.14, 1,073.42 and 482.89

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Solution

The fourth proportional to 778.14, 1,073.42 and 482.89 is: 666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,073.42 = 482.89 : x
  2. Step 2: Convert to fraction form
    778.14/1,073.42 = 482.89/x
  3. Step 3: Cross multiply
    778.14x = 1,073.42 × 482.89
  4. Step 4: Simplify right side
    778.14x = 518,344.99
  5. Step 5: Solve for x
    x = 518,344.99/778.14
  6. Step 6: Final answer
    x = 666.14

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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.