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Finding the Fourth Proportional to 1,599.80, 2,398.88 and 559.49

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Solution

The fourth proportional to 1,599.80, 2,398.88 and 559.49 is: 838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.80 : 2,398.88 = 559.49 : x
  2. Step 2: Convert to fraction form
    1,599.80/2,398.88 = 559.49/x
  3. Step 3: Cross multiply
    1,599.80x = 2,398.88 × 559.49
  4. Step 4: Simplify right side
    1,599.80x = 1,342,134.58
  5. Step 5: Solve for x
    x = 1,342,134.58/1,599.80
  6. Step 6: Final answer
    x = 838.94

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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.