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Finding the Fourth Proportional to 1,226.38, 1,690.95 and 931.15

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Solution

The fourth proportional to 1,226.38, 1,690.95 and 931.15 is: 1,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.38 : 1,690.95 = 931.15 : x
  2. Step 2: Convert to fraction form
    1,226.38/1,690.95 = 931.15/x
  3. Step 3: Cross multiply
    1,226.38x = 1,690.95 × 931.15
  4. Step 4: Simplify right side
    1,226.38x = 1,574,528.09
  5. Step 5: Solve for x
    x = 1,574,528.09/1,226.38
  6. Step 6: Final answer
    x = 1,283.88

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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.