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Finding the Fourth Proportional to 1,135.28, 1,700.97 and 549.48

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Solution

The fourth proportional to 1,135.28, 1,700.97 and 549.48 is: 823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.28 : 1,700.97 = 549.48 : x
  2. Step 2: Convert to fraction form
    1,135.28/1,700.97 = 549.48/x
  3. Step 3: Cross multiply
    1,135.28x = 1,700.97 × 549.48
  4. Step 4: Simplify right side
    1,135.28x = 934,644.22
  5. Step 5: Solve for x
    x = 934,644.22/1,135.28
  6. Step 6: Final answer
    x = 823.27

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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.