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Finding the Fourth Proportional to 1,135.67, 1,703.39 and 395.15

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Solution

The fourth proportional to 1,135.67, 1,703.39 and 395.15 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.67 : 1,703.39 = 395.15 : x
  2. Step 2: Convert to fraction form
    1,135.67/1,703.39 = 395.15/x
  3. Step 3: Cross multiply
    1,135.67x = 1,703.39 × 395.15
  4. Step 4: Simplify right side
    1,135.67x = 673,092.58
  5. Step 5: Solve for x
    x = 673,092.58/1,135.67
  6. Step 6: Final answer
    x = 592.68

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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.