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Finding the Fourth Proportional to 1,120.78, 1,681.17 and 299.05

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Solution

The fourth proportional to 1,120.78, 1,681.17 and 299.05 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.78 : 1,681.17 = 299.05 : x
  2. Step 2: Convert to fraction form
    1,120.78/1,681.17 = 299.05/x
  3. Step 3: Cross multiply
    1,120.78x = 1,681.17 × 299.05
  4. Step 4: Simplify right side
    1,120.78x = 502,753.89
  5. Step 5: Solve for x
    x = 502,753.89/1,120.78
  6. Step 6: Final answer
    x = 448.58

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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.