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Finding the Fourth Proportional to 1,592.08, 2,388.80 and 823.12

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Solution

The fourth proportional to 1,592.08, 2,388.80 and 823.12 is: 1,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.08 : 2,388.80 = 823.12 : x
  2. Step 2: Convert to fraction form
    1,592.08/2,388.80 = 823.12/x
  3. Step 3: Cross multiply
    1,592.08x = 2,388.80 × 823.12
  4. Step 4: Simplify right side
    1,592.08x = 1,966,269.06
  5. Step 5: Solve for x
    x = 1,966,269.06/1,592.08
  6. Step 6: Final answer
    x = 1,235.03

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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.