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Finding the Fourth Proportional to 1,568.16, 2,352.32 and 594.34

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Solution

The fourth proportional to 1,568.16, 2,352.32 and 594.34 is: 891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.16 : 2,352.32 = 594.34 : x
  2. Step 2: Convert to fraction form
    1,568.16/2,352.32 = 594.34/x
  3. Step 3: Cross multiply
    1,568.16x = 2,352.32 × 594.34
  4. Step 4: Simplify right side
    1,568.16x = 1,398,077.87
  5. Step 5: Solve for x
    x = 1,398,077.87/1,568.16
  6. Step 6: Final answer
    x = 891.54

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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.