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Finding the Fourth Proportional to 777.18, 1,066.08 and 760.98

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Solution

The fourth proportional to 777.18, 1,066.08 and 760.98 is: 1,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.18 : 1,066.08 = 760.98 : x
  2. Step 2: Convert to fraction form
    777.18/1,066.08 = 760.98/x
  3. Step 3: Cross multiply
    777.18x = 1,066.08 × 760.98
  4. Step 4: Simplify right side
    777.18x = 811,265.56
  5. Step 5: Solve for x
    x = 811,265.56/777.18
  6. Step 6: Final answer
    x = 1,043.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.