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Finding the Fourth Proportional to 1,053.65, 1,578.20 and 687.33

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Solution

The fourth proportional to 1,053.65, 1,578.20 and 687.33 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.65 : 1,578.20 = 687.33 : x
  2. Step 2: Convert to fraction form
    1,053.65/1,578.20 = 687.33/x
  3. Step 3: Cross multiply
    1,053.65x = 1,578.20 × 687.33
  4. Step 4: Simplify right side
    1,053.65x = 1,084,732.88
  5. Step 5: Solve for x
    x = 1,084,732.88/1,053.65
  6. Step 6: Final answer
    x = 1,029.50

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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.