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Finding the Fourth Proportional to 1,052.48, 1,578.72 and 687.57

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Solution

The fourth proportional to 1,052.48, 1,578.72 and 687.57 is: 1,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.48 : 1,578.72 = 687.57 : x
  2. Step 2: Convert to fraction form
    1,052.48/1,578.72 = 687.57/x
  3. Step 3: Cross multiply
    1,052.48x = 1,578.72 × 687.57
  4. Step 4: Simplify right side
    1,052.48x = 1,085,480.51
  5. Step 5: Solve for x
    x = 1,085,480.51/1,052.48
  6. Step 6: Final answer
    x = 1,031.36

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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.