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Finding the Fourth Proportional to 1,046.98, 1,444.82 and 568.43

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Solution

The fourth proportional to 1,046.98, 1,444.82 and 568.43 is: 784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.98 : 1,444.82 = 568.43 : x
  2. Step 2: Convert to fraction form
    1,046.98/1,444.82 = 568.43/x
  3. Step 3: Cross multiply
    1,046.98x = 1,444.82 × 568.43
  4. Step 4: Simplify right side
    1,046.98x = 821,279.03
  5. Step 5: Solve for x
    x = 821,279.03/1,046.98
  6. Step 6: Final answer
    x = 784.43

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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.