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Finding the Fourth Proportional to 790.97, 1,184.08 and 543.65

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Solution

The fourth proportional to 790.97, 1,184.08 and 543.65 is: 813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.97 : 1,184.08 = 543.65 : x
  2. Step 2: Convert to fraction form
    790.97/1,184.08 = 543.65/x
  3. Step 3: Cross multiply
    790.97x = 1,184.08 × 543.65
  4. Step 4: Simplify right side
    790.97x = 643,725.09
  5. Step 5: Solve for x
    x = 643,725.09/790.97
  6. Step 6: Final answer
    x = 813.84

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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.