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Finding the Fourth Proportional to 736.80, 1,017.23 and 559.77

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Solution

The fourth proportional to 736.80, 1,017.23 and 559.77 is: 772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,017.23 = 559.77 : x
  2. Step 2: Convert to fraction form
    736.80/1,017.23 = 559.77/x
  3. Step 3: Cross multiply
    736.80x = 1,017.23 × 559.77
  4. Step 4: Simplify right side
    736.80x = 569,414.84
  5. Step 5: Solve for x
    x = 569,414.84/736.80
  6. Step 6: Final answer
    x = 772.82

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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.