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Finding the Fourth Proportional to 432.69, 644.86 and 432.01

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Solution

The fourth proportional to 432.69, 644.86 and 432.01 is: 643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 644.86 = 432.01 : x
  2. Step 2: Convert to fraction form
    432.69/644.86 = 432.01/x
  3. Step 3: Cross multiply
    432.69x = 644.86 × 432.01
  4. Step 4: Simplify right side
    432.69x = 278,582.74
  5. Step 5: Solve for x
    x = 278,582.74/432.69
  6. Step 6: Final answer
    x = 643.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.