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Finding the Fourth Proportional to 1,568.62, 2,354.34 and 874.27

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Solution

The fourth proportional to 1,568.62, 2,354.34 and 874.27 is: 1,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.62 : 2,354.34 = 874.27 : x
  2. Step 2: Convert to fraction form
    1,568.62/2,354.34 = 874.27/x
  3. Step 3: Cross multiply
    1,568.62x = 2,354.34 × 874.27
  4. Step 4: Simplify right side
    1,568.62x = 2,058,317.06
  5. Step 5: Solve for x
    x = 2,058,317.06/1,568.62
  6. Step 6: Final answer
    x = 1,312.19

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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.