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Finding the Fourth Proportional to 1,370.67, 2,056.14 and 504.78

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Solution

The fourth proportional to 1,370.67, 2,056.14 and 504.78 is: 757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.67 : 2,056.14 = 504.78 : x
  2. Step 2: Convert to fraction form
    1,370.67/2,056.14 = 504.78/x
  3. Step 3: Cross multiply
    1,370.67x = 2,056.14 × 504.78
  4. Step 4: Simplify right side
    1,370.67x = 1,037,898.35
  5. Step 5: Solve for x
    x = 1,037,898.35/1,370.67
  6. Step 6: Final answer
    x = 757.22

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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.