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Finding the Fourth Proportional to 1,399.19, 1,930.97 and 809.93

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Solution

The fourth proportional to 1,399.19, 1,930.97 and 809.93 is: 1,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.19 : 1,930.97 = 809.93 : x
  2. Step 2: Convert to fraction form
    1,399.19/1,930.97 = 809.93/x
  3. Step 3: Cross multiply
    1,399.19x = 1,930.97 × 809.93
  4. Step 4: Simplify right side
    1,399.19x = 1,563,946.48
  5. Step 5: Solve for x
    x = 1,563,946.48/1,399.19
  6. Step 6: Final answer
    x = 1,117.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.