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Finding the Fourth Proportional to 883.70, 1,326.36 and 640.70

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Solution

The fourth proportional to 883.70, 1,326.36 and 640.70 is: 961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.70 : 1,326.36 = 640.70 : x
  2. Step 2: Convert to fraction form
    883.70/1,326.36 = 640.70/x
  3. Step 3: Cross multiply
    883.70x = 1,326.36 × 640.70
  4. Step 4: Simplify right side
    883.70x = 849,798.85
  5. Step 5: Solve for x
    x = 849,798.85/883.70
  6. Step 6: Final answer
    x = 961.64

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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.