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Finding the Fourth Proportional to 1,015.96, 1,402.10 and 622.94

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Solution

The fourth proportional to 1,015.96, 1,402.10 and 622.94 is: 859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.96 : 1,402.10 = 622.94 : x
  2. Step 2: Convert to fraction form
    1,015.96/1,402.10 = 622.94/x
  3. Step 3: Cross multiply
    1,015.96x = 1,402.10 × 622.94
  4. Step 4: Simplify right side
    1,015.96x = 873,424.17
  5. Step 5: Solve for x
    x = 873,424.17/1,015.96
  6. Step 6: Final answer
    x = 859.70

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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.