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Finding the Fourth Proportional to 1,120.11, 1,545.96 and 647.95

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Solution

The fourth proportional to 1,120.11, 1,545.96 and 647.95 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.11 : 1,545.96 = 647.95 : x
  2. Step 2: Convert to fraction form
    1,120.11/1,545.96 = 647.95/x
  3. Step 3: Cross multiply
    1,120.11x = 1,545.96 × 647.95
  4. Step 4: Simplify right side
    1,120.11x = 1,001,701.54
  5. Step 5: Solve for x
    x = 1,001,701.54/1,120.11
  6. Step 6: Final answer
    x = 894.29

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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.