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Finding the Fourth Proportional to 761.83, 1,143.20 and 328.98

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Solution

The fourth proportional to 761.83, 1,143.20 and 328.98 is: 493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.83 : 1,143.20 = 328.98 : x
  2. Step 2: Convert to fraction form
    761.83/1,143.20 = 328.98/x
  3. Step 3: Cross multiply
    761.83x = 1,143.20 × 328.98
  4. Step 4: Simplify right side
    761.83x = 376,092.58
  5. Step 5: Solve for x
    x = 376,092.58/761.83
  6. Step 6: Final answer
    x = 493.67

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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.