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Finding the Fourth Proportional to 430.35, 644.84 and 418.96

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Solution

The fourth proportional to 430.35, 644.84 and 418.96 is: 627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.35 : 644.84 = 418.96 : x
  2. Step 2: Convert to fraction form
    430.35/644.84 = 418.96/x
  3. Step 3: Cross multiply
    430.35x = 644.84 × 418.96
  4. Step 4: Simplify right side
    430.35x = 270,158.46
  5. Step 5: Solve for x
    x = 270,158.46/430.35
  6. Step 6: Final answer
    x = 627.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.