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Finding the Fourth Proportional to 763.80, 1,140.12 and 698.88

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Solution

The fourth proportional to 763.80, 1,140.12 and 698.88 is: 1,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.80 : 1,140.12 = 698.88 : x
  2. Step 2: Convert to fraction form
    763.80/1,140.12 = 698.88/x
  3. Step 3: Cross multiply
    763.80x = 1,140.12 × 698.88
  4. Step 4: Simplify right side
    763.80x = 796,807.07
  5. Step 5: Solve for x
    x = 796,807.07/763.80
  6. Step 6: Final answer
    x = 1,043.21

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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.