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Finding the Fourth Proportional to 635.18, 875.35 and 509

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Solution

The fourth proportional to 635.18, 875.35 and 509 is: 701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.18 : 875.35 = 509 : x
  2. Step 2: Convert to fraction form
    635.18/875.35 = 509/x
  3. Step 3: Cross multiply
    635.18x = 875.35 × 509
  4. Step 4: Simplify right side
    635.18x = 445,553.15
  5. Step 5: Solve for x
    x = 445,553.15/635.18
  6. Step 6: Final answer
    x = 701.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.