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Finding the Fourth Proportional to 1,131.95, 1,698.33 and 391.63

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Solution

The fourth proportional to 1,131.95, 1,698.33 and 391.63 is: 587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.95 : 1,698.33 = 391.63 : x
  2. Step 2: Convert to fraction form
    1,131.95/1,698.33 = 391.63/x
  3. Step 3: Cross multiply
    1,131.95x = 1,698.33 × 391.63
  4. Step 4: Simplify right side
    1,131.95x = 665,108.49
  5. Step 5: Solve for x
    x = 665,108.49/1,131.95
  6. Step 6: Final answer
    x = 587.58

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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.