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Finding the Fourth Proportional to 698.77, 964.47 and 404.21

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Solution

The fourth proportional to 698.77, 964.47 and 404.21 is: 557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.77 : 964.47 = 404.21 : x
  2. Step 2: Convert to fraction form
    698.77/964.47 = 404.21/x
  3. Step 3: Cross multiply
    698.77x = 964.47 × 404.21
  4. Step 4: Simplify right side
    698.77x = 389,843.60
  5. Step 5: Solve for x
    x = 389,843.60/698.77
  6. Step 6: Final answer
    x = 557.90

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Double scale
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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.