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Finding the Fourth Proportional to 1,076.30, 1,615.47 and 613.99

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Solution

The fourth proportional to 1,076.30, 1,615.47 and 613.99 is: 921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.30 : 1,615.47 = 613.99 : x
  2. Step 2: Convert to fraction form
    1,076.30/1,615.47 = 613.99/x
  3. Step 3: Cross multiply
    1,076.30x = 1,615.47 × 613.99
  4. Step 4: Simplify right side
    1,076.30x = 991,882.43
  5. Step 5: Solve for x
    x = 991,882.43/1,076.30
  6. Step 6: Final answer
    x = 921.57

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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.