Home / 1,160.14-1,732.62-929.38

Finding the Fourth Proportional to 1,160.14, 1,732.62 and 929.38

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Solution

The fourth proportional to 1,160.14, 1,732.62 and 929.38 is: 1,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.14 : 1,732.62 = 929.38 : x
  2. Step 2: Convert to fraction form
    1,160.14/1,732.62 = 929.38/x
  3. Step 3: Cross multiply
    1,160.14x = 1,732.62 × 929.38
  4. Step 4: Simplify right side
    1,160.14x = 1,610,262.38
  5. Step 5: Solve for x
    x = 1,610,262.38/1,160.14
  6. Step 6: Final answer
    x = 1,387.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.