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Finding the Fourth Proportional to 766.91, 1,058.32 and 417.59

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Solution

The fourth proportional to 766.91, 1,058.32 and 417.59 is: 576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.91 : 1,058.32 = 417.59 : x
  2. Step 2: Convert to fraction form
    766.91/1,058.32 = 417.59/x
  3. Step 3: Cross multiply
    766.91x = 1,058.32 × 417.59
  4. Step 4: Simplify right side
    766.91x = 441,941.76
  5. Step 5: Solve for x
    x = 441,941.76/766.91
  6. Step 6: Final answer
    x = 576.26

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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.