Home / 1,253.04-1,882.26-766.38

Finding the Fourth Proportional to 1,253.04, 1,882.26 and 766.38

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Solution

The fourth proportional to 1,253.04, 1,882.26 and 766.38 is: 1,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.04 : 1,882.26 = 766.38 : x
  2. Step 2: Convert to fraction form
    1,253.04/1,882.26 = 766.38/x
  3. Step 3: Cross multiply
    1,253.04x = 1,882.26 × 766.38
  4. Step 4: Simplify right side
    1,253.04x = 1,442,526.42
  5. Step 5: Solve for x
    x = 1,442,526.42/1,253.04
  6. Step 6: Final answer
    x = 1,151.22

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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.