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Finding the Fourth Proportional to 767.17, 1,058.65 and 417.85

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Solution

The fourth proportional to 767.17, 1,058.65 and 417.85 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.17 : 1,058.65 = 417.85 : x
  2. Step 2: Convert to fraction form
    767.17/1,058.65 = 417.85/x
  3. Step 3: Cross multiply
    767.17x = 1,058.65 × 417.85
  4. Step 4: Simplify right side
    767.17x = 442,356.90
  5. Step 5: Solve for x
    x = 442,356.90/767.17
  6. Step 6: Final answer
    x = 576.61

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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.