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Finding the Fourth Proportional to 1,186.66, 1,775.53 and 822.16

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Solution

The fourth proportional to 1,186.66, 1,775.53 and 822.16 is: 1,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.66 : 1,775.53 = 822.16 : x
  2. Step 2: Convert to fraction form
    1,186.66/1,775.53 = 822.16/x
  3. Step 3: Cross multiply
    1,186.66x = 1,775.53 × 822.16
  4. Step 4: Simplify right side
    1,186.66x = 1,459,769.74
  5. Step 5: Solve for x
    x = 1,459,769.74/1,186.66
  6. Step 6: Final answer
    x = 1,230.15

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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.