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Finding the Fourth Proportional to 1,592.80, 2,389.12 and 438.72

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Solution

The fourth proportional to 1,592.80, 2,389.12 and 438.72 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.80 : 2,389.12 = 438.72 : x
  2. Step 2: Convert to fraction form
    1,592.80/2,389.12 = 438.72/x
  3. Step 3: Cross multiply
    1,592.80x = 2,389.12 × 438.72
  4. Step 4: Simplify right side
    1,592.80x = 1,048,154.73
  5. Step 5: Solve for x
    x = 1,048,154.73/1,592.80
  6. Step 6: Final answer
    x = 658.06

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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.