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Finding the Fourth Proportional to 697.93, 963.15 and 432.41

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Solution

The fourth proportional to 697.93, 963.15 and 432.41 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.93 : 963.15 = 432.41 : x
  2. Step 2: Convert to fraction form
    697.93/963.15 = 432.41/x
  3. Step 3: Cross multiply
    697.93x = 963.15 × 432.41
  4. Step 4: Simplify right side
    697.93x = 416,475.69
  5. Step 5: Solve for x
    x = 416,475.69/697.93
  6. Step 6: Final answer
    x = 596.73

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1.5x scale

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.