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Finding the Fourth Proportional to 1,012.80, 1,511.78 and 874.32

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Solution

The fourth proportional to 1,012.80, 1,511.78 and 874.32 is: 1,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.80 : 1,511.78 = 874.32 : x
  2. Step 2: Convert to fraction form
    1,012.80/1,511.78 = 874.32/x
  3. Step 3: Cross multiply
    1,012.80x = 1,511.78 × 874.32
  4. Step 4: Simplify right side
    1,012.80x = 1,321,775.12
  5. Step 5: Solve for x
    x = 1,321,775.12/1,012.80
  6. Step 6: Final answer
    x = 1,305.07

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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.