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Finding the Fourth Proportional to 432.74, 645.47 and 419.78

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Solution

The fourth proportional to 432.74, 645.47 and 419.78 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 645.47 = 419.78 : x
  2. Step 2: Convert to fraction form
    432.74/645.47 = 419.78/x
  3. Step 3: Cross multiply
    432.74x = 645.47 × 419.78
  4. Step 4: Simplify right side
    432.74x = 270,956.49
  5. Step 5: Solve for x
    x = 270,956.49/432.74
  6. Step 6: Final answer
    x = 626.14

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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.