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Finding the Fourth Proportional to 1,810.52, 2,715.24 and 656

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Solution

The fourth proportional to 1,810.52, 2,715.24 and 656 is: 983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.52 : 2,715.24 = 656 : x
  2. Step 2: Convert to fraction form
    1,810.52/2,715.24 = 656/x
  3. Step 3: Cross multiply
    1,810.52x = 2,715.24 × 656
  4. Step 4: Simplify right side
    1,810.52x = 1,781,197.44
  5. Step 5: Solve for x
    x = 1,781,197.44/1,810.52
  6. Step 6: Final answer
    x = 983.80

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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.