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Finding the Fourth Proportional to 1,592.82, 2,389.40 and 438.57

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Solution

The fourth proportional to 1,592.82, 2,389.40 and 438.57 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.82 : 2,389.40 = 438.57 : x
  2. Step 2: Convert to fraction form
    1,592.82/2,389.40 = 438.57/x
  3. Step 3: Cross multiply
    1,592.82x = 2,389.40 × 438.57
  4. Step 4: Simplify right side
    1,592.82x = 1,047,916.97
  5. Step 5: Solve for x
    x = 1,047,916.97/1,592.82
  6. Step 6: Final answer
    x = 657.90

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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.