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Finding the Fourth Proportional to 803.52, 1,109.16 and 541.44

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Solution

The fourth proportional to 803.52, 1,109.16 and 541.44 is: 747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.52 : 1,109.16 = 541.44 : x
  2. Step 2: Convert to fraction form
    803.52/1,109.16 = 541.44/x
  3. Step 3: Cross multiply
    803.52x = 1,109.16 × 541.44
  4. Step 4: Simplify right side
    803.52x = 600,543.59
  5. Step 5: Solve for x
    x = 600,543.59/803.52
  6. Step 6: Final answer
    x = 747.39

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1.5x scale

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.