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Finding the Fourth Proportional to 784.32, 1,185.38 and 770.88

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Solution

The fourth proportional to 784.32, 1,185.38 and 770.88 is: 1,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.32 : 1,185.38 = 770.88 : x
  2. Step 2: Convert to fraction form
    784.32/1,185.38 = 770.88/x
  3. Step 3: Cross multiply
    784.32x = 1,185.38 × 770.88
  4. Step 4: Simplify right side
    784.32x = 913,781.88
  5. Step 5: Solve for x
    x = 913,781.88/784.32
  6. Step 6: Final answer
    x = 1,165.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.