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Finding the Fourth Proportional to 1,568.53, 2,352.76 and 472.85

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Solution

The fourth proportional to 1,568.53, 2,352.76 and 472.85 is: 709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.53 : 2,352.76 = 472.85 : x
  2. Step 2: Convert to fraction form
    1,568.53/2,352.76 = 472.85/x
  3. Step 3: Cross multiply
    1,568.53x = 2,352.76 × 472.85
  4. Step 4: Simplify right side
    1,568.53x = 1,112,502.57
  5. Step 5: Solve for x
    x = 1,112,502.57/1,568.53
  6. Step 6: Final answer
    x = 709.26

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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.