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Finding the Fourth Proportional to 1,599.35, 2,398.82 and 559.31

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Solution

The fourth proportional to 1,599.35, 2,398.82 and 559.31 is: 838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.35 : 2,398.82 = 559.31 : x
  2. Step 2: Convert to fraction form
    1,599.35/2,398.82 = 559.31/x
  3. Step 3: Cross multiply
    1,599.35x = 2,398.82 × 559.31
  4. Step 4: Simplify right side
    1,599.35x = 1,341,669.22
  5. Step 5: Solve for x
    x = 1,341,669.22/1,599.35
  6. Step 6: Final answer
    x = 838.89

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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.