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Finding the Fourth Proportional to 1,046.32, 1,443.31 and 652.66

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Solution

The fourth proportional to 1,046.32, 1,443.31 and 652.66 is: 900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.32 : 1,443.31 = 652.66 : x
  2. Step 2: Convert to fraction form
    1,046.32/1,443.31 = 652.66/x
  3. Step 3: Cross multiply
    1,046.32x = 1,443.31 × 652.66
  4. Step 4: Simplify right side
    1,046.32x = 941,990.70
  5. Step 5: Solve for x
    x = 941,990.70/1,046.32
  6. Step 6: Final answer
    x = 900.29

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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.