Home / 1,155.02-1,731.82-461.80

Finding the Fourth Proportional to 1,155.02, 1,731.82 and 461.80

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Solution

The fourth proportional to 1,155.02, 1,731.82 and 461.80 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.02 : 1,731.82 = 461.80 : x
  2. Step 2: Convert to fraction form
    1,155.02/1,731.82 = 461.80/x
  3. Step 3: Cross multiply
    1,155.02x = 1,731.82 × 461.80
  4. Step 4: Simplify right side
    1,155.02x = 799,754.48
  5. Step 5: Solve for x
    x = 799,754.48/1,155.02
  6. Step 6: Final answer
    x = 692.42

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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.