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Finding the Fourth Proportional to 698.60, 963.74 and 474.45

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Solution

The fourth proportional to 698.60, 963.74 and 474.45 is: 654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.60 : 963.74 = 474.45 : x
  2. Step 2: Convert to fraction form
    698.60/963.74 = 474.45/x
  3. Step 3: Cross multiply
    698.60x = 963.74 × 474.45
  4. Step 4: Simplify right side
    698.60x = 457,244.07
  5. Step 5: Solve for x
    x = 457,244.07/698.60
  6. Step 6: Final answer
    x = 654.52

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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.