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Finding the Fourth Proportional to 920.24, 1,269.23 and 640.47

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Solution

The fourth proportional to 920.24, 1,269.23 and 640.47 is: 883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,269.23 = 640.47 : x
  2. Step 2: Convert to fraction form
    920.24/1,269.23 = 640.47/x
  3. Step 3: Cross multiply
    920.24x = 1,269.23 × 640.47
  4. Step 4: Simplify right side
    920.24x = 812,900.54
  5. Step 5: Solve for x
    x = 812,900.54/920.24
  6. Step 6: Final answer
    x = 883.36

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1.5x scale

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.