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Finding the Fourth Proportional to 762.16, 1,050.82 and 622.14

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Solution

The fourth proportional to 762.16, 1,050.82 and 622.14 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.16 : 1,050.82 = 622.14 : x
  2. Step 2: Convert to fraction form
    762.16/1,050.82 = 622.14/x
  3. Step 3: Cross multiply
    762.16x = 1,050.82 × 622.14
  4. Step 4: Simplify right side
    762.16x = 653,753.46
  5. Step 5: Solve for x
    x = 653,753.46/762.16
  6. Step 6: Final answer
    x = 857.76

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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.