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Finding the Fourth Proportional to 410.75, 570.63 and 406.92

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Solution

The fourth proportional to 410.75, 570.63 and 406.92 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 570.63 = 406.92 : x
  2. Step 2: Convert to fraction form
    410.75/570.63 = 406.92/x
  3. Step 3: Cross multiply
    410.75x = 570.63 × 406.92
  4. Step 4: Simplify right side
    410.75x = 232,200.76
  5. Step 5: Solve for x
    x = 232,200.76/410.75
  6. Step 6: Final answer
    x = 565.32

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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.