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Finding the Fourth Proportional to 1,050.35, 1,576.17 and 712.98

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Solution

The fourth proportional to 1,050.35, 1,576.17 and 712.98 is: 1,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.35 : 1,576.17 = 712.98 : x
  2. Step 2: Convert to fraction form
    1,050.35/1,576.17 = 712.98/x
  3. Step 3: Cross multiply
    1,050.35x = 1,576.17 × 712.98
  4. Step 4: Simplify right side
    1,050.35x = 1,123,777.69
  5. Step 5: Solve for x
    x = 1,123,777.69/1,050.35
  6. Step 6: Final answer
    x = 1,069.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.