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Finding the Fourth Proportional to 946.53, 1,305.78 and 614.97

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Solution

The fourth proportional to 946.53, 1,305.78 and 614.97 is: 848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.53 : 1,305.78 = 614.97 : x
  2. Step 2: Convert to fraction form
    946.53/1,305.78 = 614.97/x
  3. Step 3: Cross multiply
    946.53x = 1,305.78 × 614.97
  4. Step 4: Simplify right side
    946.53x = 803,015.53
  5. Step 5: Solve for x
    x = 803,015.53/946.53
  6. Step 6: Final answer
    x = 848.38

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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.