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Finding the Fourth Proportional to 636, 952.56 and 507.36

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Solution

The fourth proportional to 636, 952.56 and 507.36 is: 759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    636 : 952.56 = 507.36 : x
  2. Step 2: Convert to fraction form
    636/952.56 = 507.36/x
  3. Step 3: Cross multiply
    636x = 952.56 × 507.36
  4. Step 4: Simplify right side
    636x = 483,290.84
  5. Step 5: Solve for x
    x = 483,290.84/636
  6. Step 6: Final answer
    x = 759.89

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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.