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Finding the Fourth Proportional to 1,133.67, 1,563.08 and 778.89

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Solution

The fourth proportional to 1,133.67, 1,563.08 and 778.89 is: 1,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.67 : 1,563.08 = 778.89 : x
  2. Step 2: Convert to fraction form
    1,133.67/1,563.08 = 778.89/x
  3. Step 3: Cross multiply
    1,133.67x = 1,563.08 × 778.89
  4. Step 4: Simplify right side
    1,133.67x = 1,217,473.73
  5. Step 5: Solve for x
    x = 1,217,473.73/1,133.67
  6. Step 6: Final answer
    x = 1,073.92

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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.