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Finding the Fourth Proportional to 1,170.21, 1,614.81 and 672.50

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Solution

The fourth proportional to 1,170.21, 1,614.81 and 672.50 is: 928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.21 : 1,614.81 = 672.50 : x
  2. Step 2: Convert to fraction form
    1,170.21/1,614.81 = 672.50/x
  3. Step 3: Cross multiply
    1,170.21x = 1,614.81 × 672.50
  4. Step 4: Simplify right side
    1,170.21x = 1,085,959.73
  5. Step 5: Solve for x
    x = 1,085,959.73/1,170.21
  6. Step 6: Final answer
    x = 928.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.