Home / 1,157.66-1,595.64-821.13

Finding the Fourth Proportional to 1,157.66, 1,595.64 and 821.13

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Solution

The fourth proportional to 1,157.66, 1,595.64 and 821.13 is: 1,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.66 : 1,595.64 = 821.13 : x
  2. Step 2: Convert to fraction form
    1,157.66/1,595.64 = 821.13/x
  3. Step 3: Cross multiply
    1,157.66x = 1,595.64 × 821.13
  4. Step 4: Simplify right side
    1,157.66x = 1,310,227.87
  5. Step 5: Solve for x
    x = 1,310,227.87/1,157.66
  6. Step 6: Final answer
    x = 1,131.79

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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.