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Finding the Fourth Proportional to 1,133.01, 1,699.20 and 439.55

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Solution

The fourth proportional to 1,133.01, 1,699.20 and 439.55 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.01 : 1,699.20 = 439.55 : x
  2. Step 2: Convert to fraction form
    1,133.01/1,699.20 = 439.55/x
  3. Step 3: Cross multiply
    1,133.01x = 1,699.20 × 439.55
  4. Step 4: Simplify right side
    1,133.01x = 746,874.86
  5. Step 5: Solve for x
    x = 746,874.86/1,133.01
  6. Step 6: Final answer
    x = 659.20

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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.