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Finding the Fourth Proportional to 1,204.71, 1,806.62 and 464.15

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Solution

The fourth proportional to 1,204.71, 1,806.62 and 464.15 is: 696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.71 : 1,806.62 = 464.15 : x
  2. Step 2: Convert to fraction form
    1,204.71/1,806.62 = 464.15/x
  3. Step 3: Cross multiply
    1,204.71x = 1,806.62 × 464.15
  4. Step 4: Simplify right side
    1,204.71x = 838,542.67
  5. Step 5: Solve for x
    x = 838,542.67/1,204.71
  6. Step 6: Final answer
    x = 696.05

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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.