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Finding the Fourth Proportional to 698.83, 964.56 and 404.29

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Solution

The fourth proportional to 698.83, 964.56 and 404.29 is: 558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.83 : 964.56 = 404.29 : x
  2. Step 2: Convert to fraction form
    698.83/964.56 = 404.29/x
  3. Step 3: Cross multiply
    698.83x = 964.56 × 404.29
  4. Step 4: Simplify right side
    698.83x = 389,957.14
  5. Step 5: Solve for x
    x = 389,957.14/698.83
  6. Step 6: Final answer
    x = 558.01

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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.