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Finding the Fourth Proportional to 1,025.70, 1,539.05 and 635.59

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Solution

The fourth proportional to 1,025.70, 1,539.05 and 635.59 is: 953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,539.05 = 635.59 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,539.05 = 635.59/x
  3. Step 3: Cross multiply
    1,025.70x = 1,539.05 × 635.59
  4. Step 4: Simplify right side
    1,025.70x = 978,206.59
  5. Step 5: Solve for x
    x = 978,206.59/1,025.70
  6. Step 6: Final answer
    x = 953.70

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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.