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Finding the Fourth Proportional to 1,123.98, 1,684.74 and 393.16

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Solution

The fourth proportional to 1,123.98, 1,684.74 and 393.16 is: 589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.98 : 1,684.74 = 393.16 : x
  2. Step 2: Convert to fraction form
    1,123.98/1,684.74 = 393.16/x
  3. Step 3: Cross multiply
    1,123.98x = 1,684.74 × 393.16
  4. Step 4: Simplify right side
    1,123.98x = 662,372.38
  5. Step 5: Solve for x
    x = 662,372.38/1,123.98
  6. Step 6: Final answer
    x = 589.31

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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.