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Finding the Fourth Proportional to 777.07, 1,159.26 and 755.88

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Solution

The fourth proportional to 777.07, 1,159.26 and 755.88 is: 1,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.07 : 1,159.26 = 755.88 : x
  2. Step 2: Convert to fraction form
    777.07/1,159.26 = 755.88/x
  3. Step 3: Cross multiply
    777.07x = 1,159.26 × 755.88
  4. Step 4: Simplify right side
    777.07x = 876,265.04
  5. Step 5: Solve for x
    x = 876,265.04/777.07
  6. Step 6: Final answer
    x = 1,127.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.