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Finding the Fourth Proportional to 1,593.90, 2,390.56 and 439.64

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Solution

The fourth proportional to 1,593.90, 2,390.56 and 439.64 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.90 : 2,390.56 = 439.64 : x
  2. Step 2: Convert to fraction form
    1,593.90/2,390.56 = 439.64/x
  3. Step 3: Cross multiply
    1,593.90x = 2,390.56 × 439.64
  4. Step 4: Simplify right side
    1,593.90x = 1,050,985.80
  5. Step 5: Solve for x
    x = 1,050,985.80/1,593.90
  6. Step 6: Final answer
    x = 659.38

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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.