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Finding the Fourth Proportional to 410.32, 611.87 and 406.67

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Solution

The fourth proportional to 410.32, 611.87 and 406.67 is: 606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 611.87 = 406.67 : x
  2. Step 2: Convert to fraction form
    410.32/611.87 = 406.67/x
  3. Step 3: Cross multiply
    410.32x = 611.87 × 406.67
  4. Step 4: Simplify right side
    410.32x = 248,829.17
  5. Step 5: Solve for x
    x = 248,829.17/410.32
  6. Step 6: Final answer
    x = 606.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.