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Finding the Fourth Proportional to 1,046.29, 1,444.13 and 766.93

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Solution

The fourth proportional to 1,046.29, 1,444.13 and 766.93 is: 1,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.29 : 1,444.13 = 766.93 : x
  2. Step 2: Convert to fraction form
    1,046.29/1,444.13 = 766.93/x
  3. Step 3: Cross multiply
    1,046.29x = 1,444.13 × 766.93
  4. Step 4: Simplify right side
    1,046.29x = 1,107,546.62
  5. Step 5: Solve for x
    x = 1,107,546.62/1,046.29
  6. Step 6: Final answer
    x = 1,058.55

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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.