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Finding the Fourth Proportional to 1,120.19, 1,543.93 and 804.59

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Solution

The fourth proportional to 1,120.19, 1,543.93 and 804.59 is: 1,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.19 : 1,543.93 = 804.59 : x
  2. Step 2: Convert to fraction form
    1,120.19/1,543.93 = 804.59/x
  3. Step 3: Cross multiply
    1,120.19x = 1,543.93 × 804.59
  4. Step 4: Simplify right side
    1,120.19x = 1,242,230.64
  5. Step 5: Solve for x
    x = 1,242,230.64/1,120.19
  6. Step 6: Final answer
    x = 1,108.95

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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.