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Finding the Fourth Proportional to 944.77, 1,298.74 and 844.13

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Solution

The fourth proportional to 944.77, 1,298.74 and 844.13 is: 1,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.77 : 1,298.74 = 844.13 : x
  2. Step 2: Convert to fraction form
    944.77/1,298.74 = 844.13/x
  3. Step 3: Cross multiply
    944.77x = 1,298.74 × 844.13
  4. Step 4: Simplify right side
    944.77x = 1,096,305.40
  5. Step 5: Solve for x
    x = 1,096,305.40/944.77
  6. Step 6: Final answer
    x = 1,160.39

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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 (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.