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Finding the Fourth Proportional to 763.04, 1,142.40 and 519.20

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Solution

The fourth proportional to 763.04, 1,142.40 and 519.20 is: 777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.04 : 1,142.40 = 519.20 : x
  2. Step 2: Convert to fraction form
    763.04/1,142.40 = 519.20/x
  3. Step 3: Cross multiply
    763.04x = 1,142.40 × 519.20
  4. Step 4: Simplify right side
    763.04x = 593,134.08
  5. Step 5: Solve for x
    x = 593,134.08/763.04
  6. Step 6: Final answer
    x = 777.33

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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.