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Finding the Fourth Proportional to 867, 1,298.68 and 433.24

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Solution

The fourth proportional to 867, 1,298.68 and 433.24 is: 648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    867 : 1,298.68 = 433.24 : x
  2. Step 2: Convert to fraction form
    867/1,298.68 = 433.24/x
  3. Step 3: Cross multiply
    867x = 1,298.68 × 433.24
  4. Step 4: Simplify right side
    867x = 562,640.12
  5. Step 5: Solve for x
    x = 562,640.12/867
  6. Step 6: Final answer
    x = 648.95

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Double scale
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1.5x scale

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.