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Finding the Fourth Proportional to 1,123.90, 1,685.64 and 475.09

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Solution

The fourth proportional to 1,123.90, 1,685.64 and 475.09 is: 712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.90 : 1,685.64 = 475.09 : x
  2. Step 2: Convert to fraction form
    1,123.90/1,685.64 = 475.09/x
  3. Step 3: Cross multiply
    1,123.90x = 1,685.64 × 475.09
  4. Step 4: Simplify right side
    1,123.90x = 800,830.71
  5. Step 5: Solve for x
    x = 800,830.71/1,123.90
  6. Step 6: Final answer
    x = 712.55

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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.