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Finding the Fourth Proportional to 604.48, 906 and 420.88

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Solution

The fourth proportional to 604.48, 906 and 420.88 is: 630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 906 = 420.88 : x
  2. Step 2: Convert to fraction form
    604.48/906 = 420.88/x
  3. Step 3: Cross multiply
    604.48x = 906 × 420.88
  4. Step 4: Simplify right side
    604.48x = 381,317.28
  5. Step 5: Solve for x
    x = 381,317.28/604.48
  6. Step 6: Final answer
    x = 630.82

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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.