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Finding the Fourth Proportional to 1,200.03, 1,800.10 and 541.78

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Solution

The fourth proportional to 1,200.03, 1,800.10 and 541.78 is: 812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.03 : 1,800.10 = 541.78 : x
  2. Step 2: Convert to fraction form
    1,200.03/1,800.10 = 541.78/x
  3. Step 3: Cross multiply
    1,200.03x = 1,800.10 × 541.78
  4. Step 4: Simplify right side
    1,200.03x = 975,261.32
  5. Step 5: Solve for x
    x = 975,261.32/1,200.03
  6. Step 6: Final answer
    x = 812.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.