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Finding the Fourth Proportional to 767.10, 1,058.60 and 417.80

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Solution

The fourth proportional to 767.10, 1,058.60 and 417.80 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.10 : 1,058.60 = 417.80 : x
  2. Step 2: Convert to fraction form
    767.10/1,058.60 = 417.80/x
  3. Step 3: Cross multiply
    767.10x = 1,058.60 × 417.80
  4. Step 4: Simplify right side
    767.10x = 442,275.70
  5. Step 5: Solve for x
    x = 442,275.70/767.10
  6. Step 6: Final answer
    x = 576.56

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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.