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Finding the Fourth Proportional to 1,002.42, 1,502.26 and 563.88

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Solution

The fourth proportional to 1,002.42, 1,502.26 and 563.88 is: 845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.42 : 1,502.26 = 563.88 : x
  2. Step 2: Convert to fraction form
    1,002.42/1,502.26 = 563.88/x
  3. Step 3: Cross multiply
    1,002.42x = 1,502.26 × 563.88
  4. Step 4: Simplify right side
    1,002.42x = 847,091.55
  5. Step 5: Solve for x
    x = 847,091.55/1,002.42
  6. Step 6: Final answer
    x = 845.05

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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.