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Finding the Fourth Proportional to 767.30, 1,058.89 and 418

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Solution

The fourth proportional to 767.30, 1,058.89 and 418 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.30 : 1,058.89 = 418 : x
  2. Step 2: Convert to fraction form
    767.30/1,058.89 = 418/x
  3. Step 3: Cross multiply
    767.30x = 1,058.89 × 418
  4. Step 4: Simplify right side
    767.30x = 442,616.02
  5. Step 5: Solve for x
    x = 442,616.02/767.30
  6. Step 6: Final answer
    x = 576.85

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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.