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Finding the Fourth Proportional to 1,604.86, 2,405.71 and 825.23

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Solution

The fourth proportional to 1,604.86, 2,405.71 and 825.23 is: 1,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.86 : 2,405.71 = 825.23 : x
  2. Step 2: Convert to fraction form
    1,604.86/2,405.71 = 825.23/x
  3. Step 3: Cross multiply
    1,604.86x = 2,405.71 × 825.23
  4. Step 4: Simplify right side
    1,604.86x = 1,985,271.11
  5. Step 5: Solve for x
    x = 1,985,271.11/1,604.86
  6. Step 6: Final answer
    x = 1,237.04

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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.