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Finding the Fourth Proportional to 813.93, 1,219.70 and 374.09

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Solution

The fourth proportional to 813.93, 1,219.70 and 374.09 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.93 : 1,219.70 = 374.09 : x
  2. Step 2: Convert to fraction form
    813.93/1,219.70 = 374.09/x
  3. Step 3: Cross multiply
    813.93x = 1,219.70 × 374.09
  4. Step 4: Simplify right side
    813.93x = 456,278.75
  5. Step 5: Solve for x
    x = 456,278.75/813.93
  6. Step 6: Final answer
    x = 560.59

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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.