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Finding the Fourth Proportional to 1,009.43, 1,393.44 and 946.38

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Solution

The fourth proportional to 1,009.43, 1,393.44 and 946.38 is: 1,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.43 : 1,393.44 = 946.38 : x
  2. Step 2: Convert to fraction form
    1,009.43/1,393.44 = 946.38/x
  3. Step 3: Cross multiply
    1,009.43x = 1,393.44 × 946.38
  4. Step 4: Simplify right side
    1,009.43x = 1,318,727.53
  5. Step 5: Solve for x
    x = 1,318,727.53/1,009.43
  6. Step 6: Final answer
    x = 1,306.40

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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.