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Finding the Fourth Proportional to 927.99, 1,390.34 and 781.58

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Solution

The fourth proportional to 927.99, 1,390.34 and 781.58 is: 1,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.99 : 1,390.34 = 781.58 : x
  2. Step 2: Convert to fraction form
    927.99/1,390.34 = 781.58/x
  3. Step 3: Cross multiply
    927.99x = 1,390.34 × 781.58
  4. Step 4: Simplify right side
    927.99x = 1,086,667.37
  5. Step 5: Solve for x
    x = 1,086,667.37/927.99
  6. Step 6: Final answer
    x = 1,170.99

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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.