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Finding the Fourth Proportional to 432.78, 645.52 and 419.81

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Solution

The fourth proportional to 432.78, 645.52 and 419.81 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.78 : 645.52 = 419.81 : x
  2. Step 2: Convert to fraction form
    432.78/645.52 = 419.81/x
  3. Step 3: Cross multiply
    432.78x = 645.52 × 419.81
  4. Step 4: Simplify right side
    432.78x = 270,993.89
  5. Step 5: Solve for x
    x = 270,993.89/432.78
  6. Step 6: Final answer
    x = 626.18

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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.