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Finding the Fourth Proportional to 767.23, 1,058.74 and 417.91

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Solution

The fourth proportional to 767.23, 1,058.74 and 417.91 is: 576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.23 : 1,058.74 = 417.91 : x
  2. Step 2: Convert to fraction form
    767.23/1,058.74 = 417.91/x
  3. Step 3: Cross multiply
    767.23x = 1,058.74 × 417.91
  4. Step 4: Simplify right side
    767.23x = 442,458.03
  5. Step 5: Solve for x
    x = 442,458.03/767.23
  6. Step 6: Final answer
    x = 576.70

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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.