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Finding the Fourth Proportional to 803.80, 1,110.18 and 541.40

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Solution

The fourth proportional to 803.80, 1,110.18 and 541.40 is: 747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.80 : 1,110.18 = 541.40 : x
  2. Step 2: Convert to fraction form
    803.80/1,110.18 = 541.40/x
  3. Step 3: Cross multiply
    803.80x = 1,110.18 × 541.40
  4. Step 4: Simplify right side
    803.80x = 601,051.45
  5. Step 5: Solve for x
    x = 601,051.45/803.80
  6. Step 6: Final answer
    x = 747.76

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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.