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Finding the Fourth Proportional to 905.46, 1,356.03 and 687.30

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Solution

The fourth proportional to 905.46, 1,356.03 and 687.30 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.46 : 1,356.03 = 687.30 : x
  2. Step 2: Convert to fraction form
    905.46/1,356.03 = 687.30/x
  3. Step 3: Cross multiply
    905.46x = 1,356.03 × 687.30
  4. Step 4: Simplify right side
    905.46x = 931,999.42
  5. Step 5: Solve for x
    x = 931,999.42/905.46
  6. Step 6: Final answer
    x = 1,029.31

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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.