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Finding the Fourth Proportional to 1,204.29, 1,806.64 and 424.23

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Solution

The fourth proportional to 1,204.29, 1,806.64 and 424.23 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.29 : 1,806.64 = 424.23 : x
  2. Step 2: Convert to fraction form
    1,204.29/1,806.64 = 424.23/x
  3. Step 3: Cross multiply
    1,204.29x = 1,806.64 × 424.23
  4. Step 4: Simplify right side
    1,204.29x = 766,420.79
  5. Step 5: Solve for x
    x = 766,420.79/1,204.29
  6. Step 6: Final answer
    x = 636.41

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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.