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Finding the Fourth Proportional to 913.20, 1,370.56 and 640.48

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Solution

The fourth proportional to 913.20, 1,370.56 and 640.48 is: 961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.20 : 1,370.56 = 640.48 : x
  2. Step 2: Convert to fraction form
    913.20/1,370.56 = 640.48/x
  3. Step 3: Cross multiply
    913.20x = 1,370.56 × 640.48
  4. Step 4: Simplify right side
    913.20x = 877,816.27
  5. Step 5: Solve for x
    x = 877,816.27/913.20
  6. Step 6: Final answer
    x = 961.25

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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.