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Finding the Fourth Proportional to 454.06, 677.50 and 410.12

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Solution

The fourth proportional to 454.06, 677.50 and 410.12 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.06 : 677.50 = 410.12 : x
  2. Step 2: Convert to fraction form
    454.06/677.50 = 410.12/x
  3. Step 3: Cross multiply
    454.06x = 677.50 × 410.12
  4. Step 4: Simplify right side
    454.06x = 277,856.30
  5. Step 5: Solve for x
    x = 277,856.30/454.06
  6. Step 6: Final answer
    x = 611.94

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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.