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Finding the Fourth Proportional to 1,024.94, 1,416.39 and 775.82

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Solution

The fourth proportional to 1,024.94, 1,416.39 and 775.82 is: 1,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.94 : 1,416.39 = 775.82 : x
  2. Step 2: Convert to fraction form
    1,024.94/1,416.39 = 775.82/x
  3. Step 3: Cross multiply
    1,024.94x = 1,416.39 × 775.82
  4. Step 4: Simplify right side
    1,024.94x = 1,098,856.61
  5. Step 5: Solve for x
    x = 1,098,856.61/1,024.94
  6. Step 6: Final answer
    x = 1,072.12

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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.