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Finding the Fourth Proportional to 635.32, 876.18 and 577

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Solution

The fourth proportional to 635.32, 876.18 and 577 is: 795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.32 : 876.18 = 577 : x
  2. Step 2: Convert to fraction form
    635.32/876.18 = 577/x
  3. Step 3: Cross multiply
    635.32x = 876.18 × 577
  4. Step 4: Simplify right side
    635.32x = 505,555.86
  5. Step 5: Solve for x
    x = 505,555.86/635.32
  6. Step 6: Final answer
    x = 795.75

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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.