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Finding the Fourth Proportional to 432.55, 644.48 and 420.94

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Solution

The fourth proportional to 432.55, 644.48 and 420.94 is: 627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.55 : 644.48 = 420.94 : x
  2. Step 2: Convert to fraction form
    432.55/644.48 = 420.94/x
  3. Step 3: Cross multiply
    432.55x = 644.48 × 420.94
  4. Step 4: Simplify right side
    432.55x = 271,284.19
  5. Step 5: Solve for x
    x = 271,284.19/432.55
  6. Step 6: Final answer
    x = 627.18

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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.