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Finding the Fourth Proportional to 440.87, 611.19 and 417.46

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Solution

The fourth proportional to 440.87, 611.19 and 417.46 is: 578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.87 : 611.19 = 417.46 : x
  2. Step 2: Convert to fraction form
    440.87/611.19 = 417.46/x
  3. Step 3: Cross multiply
    440.87x = 611.19 × 417.46
  4. Step 4: Simplify right side
    440.87x = 255,145.29
  5. Step 5: Solve for x
    x = 255,145.29/440.87
  6. Step 6: Final answer
    x = 578.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.