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Finding the Fourth Proportional to 1,592.95, 2,389.54 and 422.94

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Solution

The fourth proportional to 1,592.95, 2,389.54 and 422.94 is: 634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.95 : 2,389.54 = 422.94 : x
  2. Step 2: Convert to fraction form
    1,592.95/2,389.54 = 422.94/x
  3. Step 3: Cross multiply
    1,592.95x = 2,389.54 × 422.94
  4. Step 4: Simplify right side
    1,592.95x = 1,010,632.05
  5. Step 5: Solve for x
    x = 1,010,632.05/1,592.95
  6. Step 6: Final answer
    x = 634.44

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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.