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Finding the Fourth Proportional to 929.27, 1,291.49 and 919.55

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Solution

The fourth proportional to 929.27, 1,291.49 and 919.55 is: 1,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.27 : 1,291.49 = 919.55 : x
  2. Step 2: Convert to fraction form
    929.27/1,291.49 = 919.55/x
  3. Step 3: Cross multiply
    929.27x = 1,291.49 × 919.55
  4. Step 4: Simplify right side
    929.27x = 1,187,596.88
  5. Step 5: Solve for x
    x = 1,187,596.88/929.27
  6. Step 6: Final answer
    x = 1,277.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.