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Finding the Fourth Proportional to 813.61, 1,219.33 and 671.05

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Solution

The fourth proportional to 813.61, 1,219.33 and 671.05 is: 1,005.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.61 : 1,219.33 = 671.05 : x
  2. Step 2: Convert to fraction form
    813.61/1,219.33 = 671.05/x
  3. Step 3: Cross multiply
    813.61x = 1,219.33 × 671.05
  4. Step 4: Simplify right side
    813.61x = 818,231.40
  5. Step 5: Solve for x
    x = 818,231.40/813.61
  6. Step 6: Final answer
    x = 1,005.68

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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.