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Finding the Fourth Proportional to 1,003.64, 1,505.46 and 426.52

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Solution

The fourth proportional to 1,003.64, 1,505.46 and 426.52 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.64 : 1,505.46 = 426.52 : x
  2. Step 2: Convert to fraction form
    1,003.64/1,505.46 = 426.52/x
  3. Step 3: Cross multiply
    1,003.64x = 1,505.46 × 426.52
  4. Step 4: Simplify right side
    1,003.64x = 642,102.61
  5. Step 5: Solve for x
    x = 642,102.61/1,003.64
  6. Step 6: Final answer
    x = 639.77

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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.