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Finding the Fourth Proportional to 2,504.71, 3,756.77 and 656

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Solution

The fourth proportional to 2,504.71, 3,756.77 and 656 is: 983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.71 : 3,756.77 = 656 : x
  2. Step 2: Convert to fraction form
    2,504.71/3,756.77 = 656/x
  3. Step 3: Cross multiply
    2,504.71x = 3,756.77 × 656
  4. Step 4: Simplify right side
    2,504.71x = 2,464,441.12
  5. Step 5: Solve for x
    x = 2,464,441.12/2,504.71
  6. Step 6: Final answer
    x = 983.92

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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.