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Finding the Fourth Proportional to 813.63, 1,218.57 and 689.93

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Solution

The fourth proportional to 813.63, 1,218.57 and 689.93 is: 1,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.63 : 1,218.57 = 689.93 : x
  2. Step 2: Convert to fraction form
    813.63/1,218.57 = 689.93/x
  3. Step 3: Cross multiply
    813.63x = 1,218.57 × 689.93
  4. Step 4: Simplify right side
    813.63x = 840,727.54
  5. Step 5: Solve for x
    x = 840,727.54/813.63
  6. Step 6: Final answer
    x = 1,033.30

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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.