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Finding the Fourth Proportional to 1,071.80, 1,484.82 and 1,046.28

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Solution

The fourth proportional to 1,071.80, 1,484.82 and 1,046.28 is: 1,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.80 : 1,484.82 = 1,046.28 : x
  2. Step 2: Convert to fraction form
    1,071.80/1,484.82 = 1,046.28/x
  3. Step 3: Cross multiply
    1,071.80x = 1,484.82 × 1,046.28
  4. Step 4: Simplify right side
    1,071.80x = 1,553,537.47
  5. Step 5: Solve for x
    x = 1,553,537.47/1,071.80
  6. Step 6: Final answer
    x = 1,449.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.