Home / 1,157.18-1,596.76-826.28

Finding the Fourth Proportional to 1,157.18, 1,596.76 and 826.28

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Solution

The fourth proportional to 1,157.18, 1,596.76 and 826.28 is: 1,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.18 : 1,596.76 = 826.28 : x
  2. Step 2: Convert to fraction form
    1,157.18/1,596.76 = 826.28/x
  3. Step 3: Cross multiply
    1,157.18x = 1,596.76 × 826.28
  4. Step 4: Simplify right side
    1,157.18x = 1,319,370.85
  5. Step 5: Solve for x
    x = 1,319,370.85/1,157.18
  6. Step 6: Final answer
    x = 1,140.16

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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.