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Finding the Fourth Proportional to 691.86, 1,039.83 and 609.84

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Solution

The fourth proportional to 691.86, 1,039.83 and 609.84 is: 916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 1,039.83 = 609.84 : x
  2. Step 2: Convert to fraction form
    691.86/1,039.83 = 609.84/x
  3. Step 3: Cross multiply
    691.86x = 1,039.83 × 609.84
  4. Step 4: Simplify right side
    691.86x = 634,129.93
  5. Step 5: Solve for x
    x = 634,129.93/691.86
  6. Step 6: Final answer
    x = 916.56

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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.