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Finding the Fourth Proportional to 935.46, 1,289.57 and 640.22

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Solution

The fourth proportional to 935.46, 1,289.57 and 640.22 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.46 : 1,289.57 = 640.22 : x
  2. Step 2: Convert to fraction form
    935.46/1,289.57 = 640.22/x
  3. Step 3: Cross multiply
    935.46x = 1,289.57 × 640.22
  4. Step 4: Simplify right side
    935.46x = 825,598.86
  5. Step 5: Solve for x
    x = 825,598.86/935.46
  6. Step 6: Final answer
    x = 882.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.