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Finding the Fourth Proportional to 1,604.77, 2,406.78 and 617.24

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Solution

The fourth proportional to 1,604.77, 2,406.78 and 617.24 is: 925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.77 : 2,406.78 = 617.24 : x
  2. Step 2: Convert to fraction form
    1,604.77/2,406.78 = 617.24/x
  3. Step 3: Cross multiply
    1,604.77x = 2,406.78 × 617.24
  4. Step 4: Simplify right side
    1,604.77x = 1,485,566.90
  5. Step 5: Solve for x
    x = 1,485,566.90/1,604.77
  6. Step 6: Final answer
    x = 925.72

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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.