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Finding the Fourth Proportional to 1,343.56, 2,015.58 and 477.64

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Solution

The fourth proportional to 1,343.56, 2,015.58 and 477.64 is: 716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.56 : 2,015.58 = 477.64 : x
  2. Step 2: Convert to fraction form
    1,343.56/2,015.58 = 477.64/x
  3. Step 3: Cross multiply
    1,343.56x = 2,015.58 × 477.64
  4. Step 4: Simplify right side
    1,343.56x = 962,721.63
  5. Step 5: Solve for x
    x = 962,721.63/1,343.56
  6. Step 6: Final answer
    x = 716.55

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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.