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Finding the Fourth Proportional to 1,712.43, 2,569.35 and 822.52

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Solution

The fourth proportional to 1,712.43, 2,569.35 and 822.52 is: 1,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.43 : 2,569.35 = 822.52 : x
  2. Step 2: Convert to fraction form
    1,712.43/2,569.35 = 822.52/x
  3. Step 3: Cross multiply
    1,712.43x = 2,569.35 × 822.52
  4. Step 4: Simplify right side
    1,712.43x = 2,113,330.28
  5. Step 5: Solve for x
    x = 2,113,330.28/1,712.43
  6. Step 6: Final answer
    x = 1,234.11

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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.