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Finding the Fourth Proportional to 635.37, 947.08 and 565.59

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Solution

The fourth proportional to 635.37, 947.08 and 565.59 is: 843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.37 : 947.08 = 565.59 : x
  2. Step 2: Convert to fraction form
    635.37/947.08 = 565.59/x
  3. Step 3: Cross multiply
    635.37x = 947.08 × 565.59
  4. Step 4: Simplify right side
    635.37x = 535,658.98
  5. Step 5: Solve for x
    x = 535,658.98/635.37
  6. Step 6: Final answer
    x = 843.07

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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.