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Finding the Fourth Proportional to 1,598.94, 2,398.68 and 732.78

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Solution

The fourth proportional to 1,598.94, 2,398.68 and 732.78 is: 1,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.94 : 2,398.68 = 732.78 : x
  2. Step 2: Convert to fraction form
    1,598.94/2,398.68 = 732.78/x
  3. Step 3: Cross multiply
    1,598.94x = 2,398.68 × 732.78
  4. Step 4: Simplify right side
    1,598.94x = 1,757,704.73
  5. Step 5: Solve for x
    x = 1,757,704.73/1,598.94
  6. Step 6: Final answer
    x = 1,099.29

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1.5x scale

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.