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Finding the Fourth Proportional to 1,133.03, 1,563.35 and 818.78

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Solution

The fourth proportional to 1,133.03, 1,563.35 and 818.78 is: 1,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.03 : 1,563.35 = 818.78 : x
  2. Step 2: Convert to fraction form
    1,133.03/1,563.35 = 818.78/x
  3. Step 3: Cross multiply
    1,133.03x = 1,563.35 × 818.78
  4. Step 4: Simplify right side
    1,133.03x = 1,280,027.80
  5. Step 5: Solve for x
    x = 1,280,027.80/1,133.03
  6. Step 6: Final answer
    x = 1,129.74

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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.