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Finding the Fourth Proportional to 905.44, 1,358.34 and 312.31

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Solution

The fourth proportional to 905.44, 1,358.34 and 312.31 is: 468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.44 : 1,358.34 = 312.31 : x
  2. Step 2: Convert to fraction form
    905.44/1,358.34 = 312.31/x
  3. Step 3: Cross multiply
    905.44x = 1,358.34 × 312.31
  4. Step 4: Simplify right side
    905.44x = 424,214.81
  5. Step 5: Solve for x
    x = 424,214.81/905.44
  6. Step 6: Final answer
    x = 468.52

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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.