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Finding the Fourth Proportional to 865.94, 1,304.42 and 844.07

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Solution

The fourth proportional to 865.94, 1,304.42 and 844.07 is: 1,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,304.42 = 844.07 : x
  2. Step 2: Convert to fraction form
    865.94/1,304.42 = 844.07/x
  3. Step 3: Cross multiply
    865.94x = 1,304.42 × 844.07
  4. Step 4: Simplify right side
    865.94x = 1,101,011.05
  5. Step 5: Solve for x
    x = 1,101,011.05/865.94
  6. Step 6: Final answer
    x = 1,271.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.