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Finding the Fourth Proportional to 1,123.77, 1,684.71 and 538.44

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Solution

The fourth proportional to 1,123.77, 1,684.71 and 538.44 is: 807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.77 : 1,684.71 = 538.44 : x
  2. Step 2: Convert to fraction form
    1,123.77/1,684.71 = 538.44/x
  3. Step 3: Cross multiply
    1,123.77x = 1,684.71 × 538.44
  4. Step 4: Simplify right side
    1,123.77x = 907,115.25
  5. Step 5: Solve for x
    x = 907,115.25/1,123.77
  6. Step 6: Final answer
    x = 807.21

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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.