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Finding the Fourth Proportional to 894.10, 1,340.55 and 406.90

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Solution

The fourth proportional to 894.10, 1,340.55 and 406.90 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.10 : 1,340.55 = 406.90 : x
  2. Step 2: Convert to fraction form
    894.10/1,340.55 = 406.90/x
  3. Step 3: Cross multiply
    894.10x = 1,340.55 × 406.90
  4. Step 4: Simplify right side
    894.10x = 545,469.80
  5. Step 5: Solve for x
    x = 545,469.80/894.10
  6. Step 6: Final answer
    x = 610.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.