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Finding the Fourth Proportional to 905.32, 1,359.81 and 597.60

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Solution

The fourth proportional to 905.32, 1,359.81 and 597.60 is: 897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.32 : 1,359.81 = 597.60 : x
  2. Step 2: Convert to fraction form
    905.32/1,359.81 = 597.60/x
  3. Step 3: Cross multiply
    905.32x = 1,359.81 × 597.60
  4. Step 4: Simplify right side
    905.32x = 812,622.46
  5. Step 5: Solve for x
    x = 812,622.46/905.32
  6. Step 6: Final answer
    x = 897.61

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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.