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Finding the Fourth Proportional to 698.89, 964.22 and 404.05

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Solution

The fourth proportional to 698.89, 964.22 and 404.05 is: 557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.89 : 964.22 = 404.05 : x
  2. Step 2: Convert to fraction form
    698.89/964.22 = 404.05/x
  3. Step 3: Cross multiply
    698.89x = 964.22 × 404.05
  4. Step 4: Simplify right side
    698.89x = 389,588.27
  5. Step 5: Solve for x
    x = 389,588.27/698.89
  6. Step 6: Final answer
    x = 557.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.