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Finding the Fourth Proportional to 698.42, 963.76 and 383.62

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Solution

The fourth proportional to 698.42, 963.76 and 383.62 is: 529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.42 : 963.76 = 383.62 : x
  2. Step 2: Convert to fraction form
    698.42/963.76 = 383.62/x
  3. Step 3: Cross multiply
    698.42x = 963.76 × 383.62
  4. Step 4: Simplify right side
    698.42x = 369,717.61
  5. Step 5: Solve for x
    x = 369,717.61/698.42
  6. Step 6: Final answer
    x = 529.36

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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.