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Finding the Fourth Proportional to 1,123.19, 1,684.73 and 392.93

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Solution

The fourth proportional to 1,123.19, 1,684.73 and 392.93 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.19 : 1,684.73 = 392.93 : x
  2. Step 2: Convert to fraction form
    1,123.19/1,684.73 = 392.93/x
  3. Step 3: Cross multiply
    1,123.19x = 1,684.73 × 392.93
  4. Step 4: Simplify right side
    1,123.19x = 661,970.57
  5. Step 5: Solve for x
    x = 661,970.57/1,123.19
  6. Step 6: Final answer
    x = 589.37

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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.