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Finding the Fourth Proportional to 964.87, 1,330.45 and 698.79

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Solution

The fourth proportional to 964.87, 1,330.45 and 698.79 is: 963.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.87 : 1,330.45 = 698.79 : x
  2. Step 2: Convert to fraction form
    964.87/1,330.45 = 698.79/x
  3. Step 3: Cross multiply
    964.87x = 1,330.45 × 698.79
  4. Step 4: Simplify right side
    964.87x = 929,700.08
  5. Step 5: Solve for x
    x = 929,700.08/964.87
  6. Step 6: Final answer
    x = 963.55

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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.