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Finding the Fourth Proportional to 698.21, 963.69 and 432.71

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Solution

The fourth proportional to 698.21, 963.69 and 432.71 is: 597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 963.69 = 432.71 : x
  2. Step 2: Convert to fraction form
    698.21/963.69 = 432.71/x
  3. Step 3: Cross multiply
    698.21x = 963.69 × 432.71
  4. Step 4: Simplify right side
    698.21x = 416,998.30
  5. Step 5: Solve for x
    x = 416,998.30/698.21
  6. Step 6: Final answer
    x = 597.24

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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.