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Finding the Fourth Proportional to 697.99, 963.33 and 435.87

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Solution

The fourth proportional to 697.99, 963.33 and 435.87 is: 601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.99 : 963.33 = 435.87 : x
  2. Step 2: Convert to fraction form
    697.99/963.33 = 435.87/x
  3. Step 3: Cross multiply
    697.99x = 963.33 × 435.87
  4. Step 4: Simplify right side
    697.99x = 419,886.65
  5. Step 5: Solve for x
    x = 419,886.65/697.99
  6. Step 6: Final answer
    x = 601.57

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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.