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Finding the Fourth Proportional to 1,343.94, 2,015.91 and 478.19

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Solution

The fourth proportional to 1,343.94, 2,015.91 and 478.19 is: 717.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.94 : 2,015.91 = 478.19 : x
  2. Step 2: Convert to fraction form
    1,343.94/2,015.91 = 478.19/x
  3. Step 3: Cross multiply
    1,343.94x = 2,015.91 × 478.19
  4. Step 4: Simplify right side
    1,343.94x = 963,977.92
  5. Step 5: Solve for x
    x = 963,977.92/1,343.94
  6. Step 6: Final answer
    x = 717.28

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.