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Finding the Fourth Proportional to 1,124.99, 1,678.89 and 1,001.97

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Solution

The fourth proportional to 1,124.99, 1,678.89 and 1,001.97 is: 1,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.99 : 1,678.89 = 1,001.97 : x
  2. Step 2: Convert to fraction form
    1,124.99/1,678.89 = 1,001.97/x
  3. Step 3: Cross multiply
    1,124.99x = 1,678.89 × 1,001.97
  4. Step 4: Simplify right side
    1,124.99x = 1,682,196.94
  5. Step 5: Solve for x
    x = 1,682,196.94/1,124.99
  6. Step 6: Final answer
    x = 1,495.30

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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.