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Finding the Fourth Proportional to 813.75, 1,220.04 and 553.11

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Solution

The fourth proportional to 813.75, 1,220.04 and 553.11 is: 829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,220.04 = 553.11 : x
  2. Step 2: Convert to fraction form
    813.75/1,220.04 = 553.11/x
  3. Step 3: Cross multiply
    813.75x = 1,220.04 × 553.11
  4. Step 4: Simplify right side
    813.75x = 674,816.32
  5. Step 5: Solve for x
    x = 674,816.32/813.75
  6. Step 6: Final answer
    x = 829.27

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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.