Home / 1,316.86-1,975.56-768.04

Finding the Fourth Proportional to 1,316.86, 1,975.56 and 768.04

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Solution

The fourth proportional to 1,316.86, 1,975.56 and 768.04 is: 1,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.86 : 1,975.56 = 768.04 : x
  2. Step 2: Convert to fraction form
    1,316.86/1,975.56 = 768.04/x
  3. Step 3: Cross multiply
    1,316.86x = 1,975.56 × 768.04
  4. Step 4: Simplify right side
    1,316.86x = 1,517,309.10
  5. Step 5: Solve for x
    x = 1,517,309.10/1,316.86
  6. Step 6: Final answer
    x = 1,152.22

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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.