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Finding the Fourth Proportional to 1,598.70, 2,398.38 and 488.15

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Solution

The fourth proportional to 1,598.70, 2,398.38 and 488.15 is: 732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.70 : 2,398.38 = 488.15 : x
  2. Step 2: Convert to fraction form
    1,598.70/2,398.38 = 488.15/x
  3. Step 3: Cross multiply
    1,598.70x = 2,398.38 × 488.15
  4. Step 4: Simplify right side
    1,598.70x = 1,170,757.21
  5. Step 5: Solve for x
    x = 1,170,757.21/1,598.70
  6. Step 6: Final answer
    x = 732.32

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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.