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Finding the Fourth Proportional to 1,037.12, 1,552.80 and 672.32

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Solution

The fourth proportional to 1,037.12, 1,552.80 and 672.32 is: 1,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.12 : 1,552.80 = 672.32 : x
  2. Step 2: Convert to fraction form
    1,037.12/1,552.80 = 672.32/x
  3. Step 3: Cross multiply
    1,037.12x = 1,552.80 × 672.32
  4. Step 4: Simplify right side
    1,037.12x = 1,043,978.50
  5. Step 5: Solve for x
    x = 1,043,978.50/1,037.12
  6. Step 6: Final answer
    x = 1,006.61

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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.