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Finding the Fourth Proportional to 761.76, 1,145.04 and 685.08

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Solution

The fourth proportional to 761.76, 1,145.04 and 685.08 is: 1,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.76 : 1,145.04 = 685.08 : x
  2. Step 2: Convert to fraction form
    761.76/1,145.04 = 685.08/x
  3. Step 3: Cross multiply
    761.76x = 1,145.04 × 685.08
  4. Step 4: Simplify right side
    761.76x = 784,444.00
  5. Step 5: Solve for x
    x = 784,444.00/761.76
  6. Step 6: Final answer
    x = 1,029.78

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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.