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Finding the Fourth Proportional to 1,242.55, 1,714.81 and 822.17

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Solution

The fourth proportional to 1,242.55, 1,714.81 and 822.17 is: 1,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.55 : 1,714.81 = 822.17 : x
  2. Step 2: Convert to fraction form
    1,242.55/1,714.81 = 822.17/x
  3. Step 3: Cross multiply
    1,242.55x = 1,714.81 × 822.17
  4. Step 4: Simplify right side
    1,242.55x = 1,409,865.34
  5. Step 5: Solve for x
    x = 1,409,865.34/1,242.55
  6. Step 6: Final answer
    x = 1,134.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.