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Finding the Fourth Proportional to 772.85, 1,159.82 and 340.31

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Solution

The fourth proportional to 772.85, 1,159.82 and 340.31 is: 510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.85 : 1,159.82 = 340.31 : x
  2. Step 2: Convert to fraction form
    772.85/1,159.82 = 340.31/x
  3. Step 3: Cross multiply
    772.85x = 1,159.82 × 340.31
  4. Step 4: Simplify right side
    772.85x = 394,698.34
  5. Step 5: Solve for x
    x = 394,698.34/772.85
  6. Step 6: Final answer
    x = 510.70

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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.