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Finding the Fourth Proportional to 601.20, 906.30 and 538.56

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Solution

The fourth proportional to 601.20, 906.30 and 538.56 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 906.30 = 538.56 : x
  2. Step 2: Convert to fraction form
    601.20/906.30 = 538.56/x
  3. Step 3: Cross multiply
    601.20x = 906.30 × 538.56
  4. Step 4: Simplify right side
    601.20x = 488,096.93
  5. Step 5: Solve for x
    x = 488,096.93/601.20
  6. Step 6: Final answer
    x = 811.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.