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Finding the Fourth Proportional to 1,024.69, 1,410.99 and 1,001.70

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Solution

The fourth proportional to 1,024.69, 1,410.99 and 1,001.70 is: 1,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.69 : 1,410.99 = 1,001.70 : x
  2. Step 2: Convert to fraction form
    1,024.69/1,410.99 = 1,001.70/x
  3. Step 3: Cross multiply
    1,024.69x = 1,410.99 × 1,001.70
  4. Step 4: Simplify right side
    1,024.69x = 1,413,388.68
  5. Step 5: Solve for x
    x = 1,413,388.68/1,024.69
  6. Step 6: Final answer
    x = 1,379.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.