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Finding the Fourth Proportional to 1,071.18, 1,606.68 and 550.89

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Solution

The fourth proportional to 1,071.18, 1,606.68 and 550.89 is: 826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.18 : 1,606.68 = 550.89 : x
  2. Step 2: Convert to fraction form
    1,071.18/1,606.68 = 550.89/x
  3. Step 3: Cross multiply
    1,071.18x = 1,606.68 × 550.89
  4. Step 4: Simplify right side
    1,071.18x = 885,103.95
  5. Step 5: Solve for x
    x = 885,103.95/1,071.18
  6. Step 6: Final answer
    x = 826.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.