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Finding the Fourth Proportional to 766.62, 1,058.36 and 505.06

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Solution

The fourth proportional to 766.62, 1,058.36 and 505.06 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.62 : 1,058.36 = 505.06 : x
  2. Step 2: Convert to fraction form
    766.62/1,058.36 = 505.06/x
  3. Step 3: Cross multiply
    766.62x = 1,058.36 × 505.06
  4. Step 4: Simplify right side
    766.62x = 534,535.30
  5. Step 5: Solve for x
    x = 534,535.30/766.62
  6. Step 6: Final answer
    x = 697.26

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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.