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Finding the Fourth Proportional to 945.90, 1,304.61 and 614.44

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Solution

The fourth proportional to 945.90, 1,304.61 and 614.44 is: 847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,304.61 = 614.44 : x
  2. Step 2: Convert to fraction form
    945.90/1,304.61 = 614.44/x
  3. Step 3: Cross multiply
    945.90x = 1,304.61 × 614.44
  4. Step 4: Simplify right side
    945.90x = 801,596.56
  5. Step 5: Solve for x
    x = 801,596.56/945.90
  6. Step 6: Final answer
    x = 847.44

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Half scale
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Double scale
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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.