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Finding the Fourth Proportional to 691.86, 1,039.41 and 594.66

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Solution

The fourth proportional to 691.86, 1,039.41 and 594.66 is: 893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 1,039.41 = 594.66 : x
  2. Step 2: Convert to fraction form
    691.86/1,039.41 = 594.66/x
  3. Step 3: Cross multiply
    691.86x = 1,039.41 × 594.66
  4. Step 4: Simplify right side
    691.86x = 618,095.55
  5. Step 5: Solve for x
    x = 618,095.55/691.86
  6. Step 6: Final answer
    x = 893.38

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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.