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Finding the Fourth Proportional to 773.02, 1,159.41 and 491.61

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Solution

The fourth proportional to 773.02, 1,159.41 and 491.61 is: 737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,159.41 = 491.61 : x
  2. Step 2: Convert to fraction form
    773.02/1,159.41 = 491.61/x
  3. Step 3: Cross multiply
    773.02x = 1,159.41 × 491.61
  4. Step 4: Simplify right side
    773.02x = 569,977.55
  5. Step 5: Solve for x
    x = 569,977.55/773.02
  6. Step 6: Final answer
    x = 737.34

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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.