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Finding the Fourth Proportional to 436.87, 660.31 and 432.01

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Solution

The fourth proportional to 436.87, 660.31 and 432.01 is: 652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.87 : 660.31 = 432.01 : x
  2. Step 2: Convert to fraction form
    436.87/660.31 = 432.01/x
  3. Step 3: Cross multiply
    436.87x = 660.31 × 432.01
  4. Step 4: Simplify right side
    436.87x = 285,260.52
  5. Step 5: Solve for x
    x = 285,260.52/436.87
  6. Step 6: Final answer
    x = 652.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.