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Finding the Fourth Proportional to 601.06, 901.31 and 312.42

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Solution

The fourth proportional to 601.06, 901.31 and 312.42 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.06 : 901.31 = 312.42 : x
  2. Step 2: Convert to fraction form
    601.06/901.31 = 312.42/x
  3. Step 3: Cross multiply
    601.06x = 901.31 × 312.42
  4. Step 4: Simplify right side
    601.06x = 281,587.27
  5. Step 5: Solve for x
    x = 281,587.27/601.06
  6. Step 6: Final answer
    x = 468.48

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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.