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Finding the Fourth Proportional to 1,226.84, 1,693.66 and 946.44

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Solution

The fourth proportional to 1,226.84, 1,693.66 and 946.44 is: 1,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.84 : 1,693.66 = 946.44 : x
  2. Step 2: Convert to fraction form
    1,226.84/1,693.66 = 946.44/x
  3. Step 3: Cross multiply
    1,226.84x = 1,693.66 × 946.44
  4. Step 4: Simplify right side
    1,226.84x = 1,602,946.98
  5. Step 5: Solve for x
    x = 1,602,946.98/1,226.84
  6. Step 6: Final answer
    x = 1,306.57

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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.