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Finding the Fourth Proportional to 1,213.01, 1,818.38 and 432.47

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Solution

The fourth proportional to 1,213.01, 1,818.38 and 432.47 is: 648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.01 : 1,818.38 = 432.47 : x
  2. Step 2: Convert to fraction form
    1,213.01/1,818.38 = 432.47/x
  3. Step 3: Cross multiply
    1,213.01x = 1,818.38 × 432.47
  4. Step 4: Simplify right side
    1,213.01x = 786,383.54
  5. Step 5: Solve for x
    x = 786,383.54/1,213.01
  6. Step 6: Final answer
    x = 648.29

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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.