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Finding the Fourth Proportional to 790.74, 1,186.92 and 515.88

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Solution

The fourth proportional to 790.74, 1,186.92 and 515.88 is: 774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.74 : 1,186.92 = 515.88 : x
  2. Step 2: Convert to fraction form
    790.74/1,186.92 = 515.88/x
  3. Step 3: Cross multiply
    790.74x = 1,186.92 × 515.88
  4. Step 4: Simplify right side
    790.74x = 612,308.29
  5. Step 5: Solve for x
    x = 612,308.29/790.74
  6. Step 6: Final answer
    x = 774.35

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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.