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Finding the Fourth Proportional to 926.06, 1,385.97 and 779.99

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Solution

The fourth proportional to 926.06, 1,385.97 and 779.99 is: 1,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.06 : 1,385.97 = 779.99 : x
  2. Step 2: Convert to fraction form
    926.06/1,385.97 = 779.99/x
  3. Step 3: Cross multiply
    926.06x = 1,385.97 × 779.99
  4. Step 4: Simplify right side
    926.06x = 1,081,042.74
  5. Step 5: Solve for x
    x = 1,081,042.74/926.06
  6. Step 6: Final answer
    x = 1,167.36

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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.