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Finding the Fourth Proportional to 698.89, 964.57 and 404.20

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Solution

The fourth proportional to 698.89, 964.57 and 404.20 is: 557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.89 : 964.57 = 404.20 : x
  2. Step 2: Convert to fraction form
    698.89/964.57 = 404.20/x
  3. Step 3: Cross multiply
    698.89x = 964.57 × 404.20
  4. Step 4: Simplify right side
    698.89x = 389,875.77
  5. Step 5: Solve for x
    x = 389,875.77/698.89
  6. Step 6: Final answer
    x = 557.85

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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.