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Finding the Fourth Proportional to 763.18, 1,144.38 and 519.98

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Solution

The fourth proportional to 763.18, 1,144.38 and 519.98 is: 779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.18 : 1,144.38 = 519.98 : x
  2. Step 2: Convert to fraction form
    763.18/1,144.38 = 519.98/x
  3. Step 3: Cross multiply
    763.18x = 1,144.38 × 519.98
  4. Step 4: Simplify right side
    763.18x = 595,054.71
  5. Step 5: Solve for x
    x = 595,054.71/763.18
  6. Step 6: Final answer
    x = 779.70

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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.