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Finding the Fourth Proportional to 827.77, 1,240.77 and 359.49

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Solution

The fourth proportional to 827.77, 1,240.77 and 359.49 is: 538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.77 : 1,240.77 = 359.49 : x
  2. Step 2: Convert to fraction form
    827.77/1,240.77 = 359.49/x
  3. Step 3: Cross multiply
    827.77x = 1,240.77 × 359.49
  4. Step 4: Simplify right side
    827.77x = 446,041.41
  5. Step 5: Solve for x
    x = 446,041.41/827.77
  6. Step 6: Final answer
    x = 538.85

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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.