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Finding the Fourth Proportional to 1,123.23, 1,684.86 and 474.42

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Solution

The fourth proportional to 1,123.23, 1,684.86 and 474.42 is: 711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.23 : 1,684.86 = 474.42 : x
  2. Step 2: Convert to fraction form
    1,123.23/1,684.86 = 474.42/x
  3. Step 3: Cross multiply
    1,123.23x = 1,684.86 × 474.42
  4. Step 4: Simplify right side
    1,123.23x = 799,331.28
  5. Step 5: Solve for x
    x = 799,331.28/1,123.23
  6. Step 6: Final answer
    x = 711.64

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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.