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Finding the Fourth Proportional to 945.38, 1,305.42 and 614.38

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Solution

The fourth proportional to 945.38, 1,305.42 and 614.38 is: 848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.38 : 1,305.42 = 614.38 : x
  2. Step 2: Convert to fraction form
    945.38/1,305.42 = 614.38/x
  3. Step 3: Cross multiply
    945.38x = 1,305.42 × 614.38
  4. Step 4: Simplify right side
    945.38x = 802,023.94
  5. Step 5: Solve for x
    x = 802,023.94/945.38
  6. Step 6: Final answer
    x = 848.36

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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.