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Finding the Fourth Proportional to 1,599.52, 2,399.35 and 559.63

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Solution

The fourth proportional to 1,599.52, 2,399.35 and 559.63 is: 839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.52 : 2,399.35 = 559.63 : x
  2. Step 2: Convert to fraction form
    1,599.52/2,399.35 = 559.63/x
  3. Step 3: Cross multiply
    1,599.52x = 2,399.35 × 559.63
  4. Step 4: Simplify right side
    1,599.52x = 1,342,748.24
  5. Step 5: Solve for x
    x = 1,342,748.24/1,599.52
  6. Step 6: Final answer
    x = 839.47

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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.