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Finding the Fourth Proportional to 410.58, 612.24 and 406.92

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Solution

The fourth proportional to 410.58, 612.24 and 406.92 is: 606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 612.24 = 406.92 : x
  2. Step 2: Convert to fraction form
    410.58/612.24 = 406.92/x
  3. Step 3: Cross multiply
    410.58x = 612.24 × 406.92
  4. Step 4: Simplify right side
    410.58x = 249,132.70
  5. Step 5: Solve for x
    x = 249,132.70/410.58
  6. Step 6: Final answer
    x = 606.78

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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.