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Finding the Fourth Proportional to 1,599.71, 2,399.36 and 429.80

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Solution

The fourth proportional to 1,599.71, 2,399.36 and 429.80 is: 644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.71 : 2,399.36 = 429.80 : x
  2. Step 2: Convert to fraction form
    1,599.71/2,399.36 = 429.80/x
  3. Step 3: Cross multiply
    1,599.71x = 2,399.36 × 429.80
  4. Step 4: Simplify right side
    1,599.71x = 1,031,230.78
  5. Step 5: Solve for x
    x = 1,031,230.78/1,599.71
  6. Step 6: Final answer
    x = 644.64

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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.