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Finding the Fourth Proportional to 888.04, 1,330.62 and 766

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Solution

The fourth proportional to 888.04, 1,330.62 and 766 is: 1,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.04 : 1,330.62 = 766 : x
  2. Step 2: Convert to fraction form
    888.04/1,330.62 = 766/x
  3. Step 3: Cross multiply
    888.04x = 1,330.62 × 766
  4. Step 4: Simplify right side
    888.04x = 1,019,254.92
  5. Step 5: Solve for x
    x = 1,019,254.92/888.04
  6. Step 6: Final answer
    x = 1,147.76

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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.