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Finding the Fourth Proportional to 1,224.50, 1,689.81 and 672.50

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Solution

The fourth proportional to 1,224.50, 1,689.81 and 672.50 is: 928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.50 : 1,689.81 = 672.50 : x
  2. Step 2: Convert to fraction form
    1,224.50/1,689.81 = 672.50/x
  3. Step 3: Cross multiply
    1,224.50x = 1,689.81 × 672.50
  4. Step 4: Simplify right side
    1,224.50x = 1,136,397.23
  5. Step 5: Solve for x
    x = 1,136,397.23/1,224.50
  6. Step 6: Final answer
    x = 928.05

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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.