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Finding the Fourth Proportional to 1,199.16, 1,797.48 and 549.36

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Solution

The fourth proportional to 1,199.16, 1,797.48 and 549.36 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.16 : 1,797.48 = 549.36 : x
  2. Step 2: Convert to fraction form
    1,199.16/1,797.48 = 549.36/x
  3. Step 3: Cross multiply
    1,199.16x = 1,797.48 × 549.36
  4. Step 4: Simplify right side
    1,199.16x = 987,463.61
  5. Step 5: Solve for x
    x = 987,463.61/1,199.16
  6. Step 6: Final answer
    x = 823.46

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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.