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Finding the Fourth Proportional to 432.16, 642.74 and 419.20

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Solution

The fourth proportional to 432.16, 642.74 and 419.20 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 642.74 = 419.20 : x
  2. Step 2: Convert to fraction form
    432.16/642.74 = 419.20/x
  3. Step 3: Cross multiply
    432.16x = 642.74 × 419.20
  4. Step 4: Simplify right side
    432.16x = 269,436.61
  5. Step 5: Solve for x
    x = 269,436.61/432.16
  6. Step 6: Final answer
    x = 623.46

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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.