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Finding the Fourth Proportional to 777.75, 1,164.35 and 731.51

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Solution

The fourth proportional to 777.75, 1,164.35 and 731.51 is: 1,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.75 : 1,164.35 = 731.51 : x
  2. Step 2: Convert to fraction form
    777.75/1,164.35 = 731.51/x
  3. Step 3: Cross multiply
    777.75x = 1,164.35 × 731.51
  4. Step 4: Simplify right side
    777.75x = 851,728.71
  5. Step 5: Solve for x
    x = 851,728.71/777.75
  6. Step 6: Final answer
    x = 1,095.12

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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.