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Finding the Fourth Proportional to 1,371.40, 2,056.64 and 446.74

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Solution

The fourth proportional to 1,371.40, 2,056.64 and 446.74 is: 669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.40 : 2,056.64 = 446.74 : x
  2. Step 2: Convert to fraction form
    1,371.40/2,056.64 = 446.74/x
  3. Step 3: Cross multiply
    1,371.40x = 2,056.64 × 446.74
  4. Step 4: Simplify right side
    1,371.40x = 918,783.35
  5. Step 5: Solve for x
    x = 918,783.35/1,371.40
  6. Step 6: Final answer
    x = 669.96

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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.