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Finding the Fourth Proportional to 1,050.71, 1,573.96 and 634.00

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Solution

The fourth proportional to 1,050.71, 1,573.96 and 634.00 is: 949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.71 : 1,573.96 = 634.00 : x
  2. Step 2: Convert to fraction form
    1,050.71/1,573.96 = 634.00/x
  3. Step 3: Cross multiply
    1,050.71x = 1,573.96 × 634.00
  4. Step 4: Simplify right side
    1,050.71x = 997,892.99
  5. Step 5: Solve for x
    x = 997,892.99/1,050.71
  6. Step 6: Final answer
    x = 949.73

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Why These Related Problems?

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