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Finding the Fourth Proportional to 1,290.17, 1,933.13 and 672.95

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Solution

The fourth proportional to 1,290.17, 1,933.13 and 672.95 is: 1,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.17 : 1,933.13 = 672.95 : x
  2. Step 2: Convert to fraction form
    1,290.17/1,933.13 = 672.95/x
  3. Step 3: Cross multiply
    1,290.17x = 1,933.13 × 672.95
  4. Step 4: Simplify right side
    1,290.17x = 1,300,901.30
  5. Step 5: Solve for x
    x = 1,300,901.30/1,290.17
  6. Step 6: Final answer
    x = 1,008.32

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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.