Home / 1,163.62-1,746.36-607.78

Finding the Fourth Proportional to 1,163.62, 1,746.36 and 607.78

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Solution

The fourth proportional to 1,163.62, 1,746.36 and 607.78 is: 912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.62 : 1,746.36 = 607.78 : x
  2. Step 2: Convert to fraction form
    1,163.62/1,746.36 = 607.78/x
  3. Step 3: Cross multiply
    1,163.62x = 1,746.36 × 607.78
  4. Step 4: Simplify right side
    1,163.62x = 1,061,402.68
  5. Step 5: Solve for x
    x = 1,061,402.68/1,163.62
  6. Step 6: Final answer
    x = 912.16

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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.