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Finding the Fourth Proportional to 813.05, 1,220.02 and 535.40

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Solution

The fourth proportional to 813.05, 1,220.02 and 535.40 is: 803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.05 : 1,220.02 = 535.40 : x
  2. Step 2: Convert to fraction form
    813.05/1,220.02 = 535.40/x
  3. Step 3: Cross multiply
    813.05x = 1,220.02 × 535.40
  4. Step 4: Simplify right side
    813.05x = 653,198.71
  5. Step 5: Solve for x
    x = 653,198.71/813.05
  6. Step 6: Final answer
    x = 803.39

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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.