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Finding the Fourth Proportional to 1,153.99, 1,731.97 and 461.15

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Solution

The fourth proportional to 1,153.99, 1,731.97 and 461.15 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.99 : 1,731.97 = 461.15 : x
  2. Step 2: Convert to fraction form
    1,153.99/1,731.97 = 461.15/x
  3. Step 3: Cross multiply
    1,153.99x = 1,731.97 × 461.15
  4. Step 4: Simplify right side
    1,153.99x = 798,696.38
  5. Step 5: Solve for x
    x = 798,696.38/1,153.99
  6. Step 6: Final answer
    x = 692.12

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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.