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Finding the Fourth Proportional to 1,296.87, 1,946.75 and 672.00

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Solution

The fourth proportional to 1,296.87, 1,946.75 and 672.00 is: 1,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.87 : 1,946.75 = 672.00 : x
  2. Step 2: Convert to fraction form
    1,296.87/1,946.75 = 672.00/x
  3. Step 3: Cross multiply
    1,296.87x = 1,946.75 × 672.00
  4. Step 4: Simplify right side
    1,296.87x = 1,308,218.18
  5. Step 5: Solve for x
    x = 1,308,218.18/1,296.87
  6. Step 6: Final answer
    x = 1,008.75

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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.