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Finding the Fourth Proportional to 813.71, 1,220.49 and 403.13

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Solution

The fourth proportional to 813.71, 1,220.49 and 403.13 is: 604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.71 : 1,220.49 = 403.13 : x
  2. Step 2: Convert to fraction form
    813.71/1,220.49 = 403.13/x
  3. Step 3: Cross multiply
    813.71x = 1,220.49 × 403.13
  4. Step 4: Simplify right side
    813.71x = 492,019.18
  5. Step 5: Solve for x
    x = 492,019.18/813.71
  6. Step 6: Final answer
    x = 604.66

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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.