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Finding the Fourth Proportional to 1,120.77, 1,543.32 and 1,095.21

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Solution

The fourth proportional to 1,120.77, 1,543.32 and 1,095.21 is: 1,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.77 : 1,543.32 = 1,095.21 : x
  2. Step 2: Convert to fraction form
    1,120.77/1,543.32 = 1,095.21/x
  3. Step 3: Cross multiply
    1,120.77x = 1,543.32 × 1,095.21
  4. Step 4: Simplify right side
    1,120.77x = 1,690,259.50
  5. Step 5: Solve for x
    x = 1,690,259.50/1,120.77
  6. Step 6: Final answer
    x = 1,508.12

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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.