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Finding the Fourth Proportional to 1,204.17, 1,805.16 and 434.49

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Solution

The fourth proportional to 1,204.17, 1,805.16 and 434.49 is: 651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.17 : 1,805.16 = 434.49 : x
  2. Step 2: Convert to fraction form
    1,204.17/1,805.16 = 434.49/x
  3. Step 3: Cross multiply
    1,204.17x = 1,805.16 × 434.49
  4. Step 4: Simplify right side
    1,204.17x = 784,323.97
  5. Step 5: Solve for x
    x = 784,323.97/1,204.17
  6. Step 6: Final answer
    x = 651.34

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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.