Home / 1,160.64-1,741.08-511.80

Finding the Fourth Proportional to 1,160.64, 1,741.08 and 511.80

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Solution

The fourth proportional to 1,160.64, 1,741.08 and 511.80 is: 767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.64 : 1,741.08 = 511.80 : x
  2. Step 2: Convert to fraction form
    1,160.64/1,741.08 = 511.80/x
  3. Step 3: Cross multiply
    1,160.64x = 1,741.08 × 511.80
  4. Step 4: Simplify right side
    1,160.64x = 891,084.74
  5. Step 5: Solve for x
    x = 891,084.74/1,160.64
  6. Step 6: Final answer
    x = 767.75

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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.