Home / 1,151.29-1,587.10-796.67

Finding the Fourth Proportional to 1,151.29, 1,587.10 and 796.67

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Solution

The fourth proportional to 1,151.29, 1,587.10 and 796.67 is: 1,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.29 : 1,587.10 = 796.67 : x
  2. Step 2: Convert to fraction form
    1,151.29/1,587.10 = 796.67/x
  3. Step 3: Cross multiply
    1,151.29x = 1,587.10 × 796.67
  4. Step 4: Simplify right side
    1,151.29x = 1,264,390.99
  5. Step 5: Solve for x
    x = 1,264,390.99/1,151.29
  6. Step 6: Final answer
    x = 1,098.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.