Home / 1,316.67-1,975.95-768.30

Finding the Fourth Proportional to 1,316.67, 1,975.95 and 768.30

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Solution

The fourth proportional to 1,316.67, 1,975.95 and 768.30 is: 1,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.67 : 1,975.95 = 768.30 : x
  2. Step 2: Convert to fraction form
    1,316.67/1,975.95 = 768.30/x
  3. Step 3: Cross multiply
    1,316.67x = 1,975.95 × 768.30
  4. Step 4: Simplify right side
    1,316.67x = 1,518,122.39
  5. Step 5: Solve for x
    x = 1,518,122.39/1,316.67
  6. Step 6: Final answer
    x = 1,153.00

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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.