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Finding the Fourth Proportional to 937.05, 1,292.00 and 779.91

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Solution

The fourth proportional to 937.05, 1,292.00 and 779.91 is: 1,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.05 : 1,292.00 = 779.91 : x
  2. Step 2: Convert to fraction form
    937.05/1,292.00 = 779.91/x
  3. Step 3: Cross multiply
    937.05x = 1,292.00 × 779.91
  4. Step 4: Simplify right side
    937.05x = 1,007,639.82
  5. Step 5: Solve for x
    x = 1,007,639.82/937.05
  6. Step 6: Final answer
    x = 1,075.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.