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Finding the Fourth Proportional to 761.37, 1,142.34 and 350.79

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Solution

The fourth proportional to 761.37, 1,142.34 and 350.79 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.37 : 1,142.34 = 350.79 : x
  2. Step 2: Convert to fraction form
    761.37/1,142.34 = 350.79/x
  3. Step 3: Cross multiply
    761.37x = 1,142.34 × 350.79
  4. Step 4: Simplify right side
    761.37x = 400,721.45
  5. Step 5: Solve for x
    x = 400,721.45/761.37
  6. Step 6: Final answer
    x = 526.32

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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.