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Finding the Fourth Proportional to 772.64, 1,159.12 and 339.80

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Solution

The fourth proportional to 772.64, 1,159.12 and 339.80 is: 509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.64 : 1,159.12 = 339.80 : x
  2. Step 2: Convert to fraction form
    772.64/1,159.12 = 339.80/x
  3. Step 3: Cross multiply
    772.64x = 1,159.12 × 339.80
  4. Step 4: Simplify right side
    772.64x = 393,868.98
  5. Step 5: Solve for x
    x = 393,868.98/772.64
  6. Step 6: Final answer
    x = 509.77

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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.