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Finding the Fourth Proportional to 761.19, 1,143.34 and 501.56

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Solution

The fourth proportional to 761.19, 1,143.34 and 501.56 is: 753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.19 : 1,143.34 = 501.56 : x
  2. Step 2: Convert to fraction form
    761.19/1,143.34 = 501.56/x
  3. Step 3: Cross multiply
    761.19x = 1,143.34 × 501.56
  4. Step 4: Simplify right side
    761.19x = 573,450.93
  5. Step 5: Solve for x
    x = 573,450.93/761.19
  6. Step 6: Final answer
    x = 753.36

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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.