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Finding the Fourth Proportional to 761.53, 1,140.80 and 678.88

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Solution

The fourth proportional to 761.53, 1,140.80 and 678.88 is: 1,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.53 : 1,140.80 = 678.88 : x
  2. Step 2: Convert to fraction form
    761.53/1,140.80 = 678.88/x
  3. Step 3: Cross multiply
    761.53x = 1,140.80 × 678.88
  4. Step 4: Simplify right side
    761.53x = 774,465.15
  5. Step 5: Solve for x
    x = 774,465.15/761.53
  6. Step 6: Final answer
    x = 1,016.99

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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.