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Finding the Fourth Proportional to 1,069.98, 1,476.51 and 628.11

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Solution

The fourth proportional to 1,069.98, 1,476.51 and 628.11 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.98 : 1,476.51 = 628.11 : x
  2. Step 2: Convert to fraction form
    1,069.98/1,476.51 = 628.11/x
  3. Step 3: Cross multiply
    1,069.98x = 1,476.51 × 628.11
  4. Step 4: Simplify right side
    1,069.98x = 927,410.70
  5. Step 5: Solve for x
    x = 927,410.70/1,069.98
  6. Step 6: Final answer
    x = 866.76

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