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Finding the Fourth Proportional to 635.01, 947.37 and 565.75

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Solution

The fourth proportional to 635.01, 947.37 and 565.75 is: 844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.01 : 947.37 = 565.75 : x
  2. Step 2: Convert to fraction form
    635.01/947.37 = 565.75/x
  3. Step 3: Cross multiply
    635.01x = 947.37 × 565.75
  4. Step 4: Simplify right side
    635.01x = 535,977.88
  5. Step 5: Solve for x
    x = 535,977.88/635.01
  6. Step 6: Final answer
    x = 844.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.