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Finding the Fourth Proportional to 935.07, 1,288.95 and 698.65

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Solution

The fourth proportional to 935.07, 1,288.95 and 698.65 is: 963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.07 : 1,288.95 = 698.65 : x
  2. Step 2: Convert to fraction form
    935.07/1,288.95 = 698.65/x
  3. Step 3: Cross multiply
    935.07x = 1,288.95 × 698.65
  4. Step 4: Simplify right side
    935.07x = 900,524.92
  5. Step 5: Solve for x
    x = 900,524.92/935.07
  6. Step 6: Final answer
    x = 963.06

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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.