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Finding the Fourth Proportional to 698.60, 964.08 and 418.79

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Solution

The fourth proportional to 698.60, 964.08 and 418.79 is: 577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 964.08 = 418.79 : x
  2. Step 2: Convert to fraction form
    698.60/964.08 = 418.79/x
  3. Step 3: Cross multiply
    698.60x = 964.08 × 418.79
  4. Step 4: Simplify right side
    698.60x = 403,742.24
  5. Step 5: Solve for x
    x = 403,742.24/698.60
  6. Step 6: Final answer
    x = 577.93

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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.