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Finding the Fourth Proportional to 635.51, 948.12 and 566.25

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Solution

The fourth proportional to 635.51, 948.12 and 566.25 is: 844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.51 : 948.12 = 566.25 : x
  2. Step 2: Convert to fraction form
    635.51/948.12 = 566.25/x
  3. Step 3: Cross multiply
    635.51x = 948.12 × 566.25
  4. Step 4: Simplify right side
    635.51x = 536,872.95
  5. Step 5: Solve for x
    x = 536,872.95/635.51
  6. Step 6: Final answer
    x = 844.80

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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.