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Finding the Fourth Proportional to 635.68, 877.36 and 402.64

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Solution

The fourth proportional to 635.68, 877.36 and 402.64 is: 555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.68 : 877.36 = 402.64 : x
  2. Step 2: Convert to fraction form
    635.68/877.36 = 402.64/x
  3. Step 3: Cross multiply
    635.68x = 877.36 × 402.64
  4. Step 4: Simplify right side
    635.68x = 353,260.23
  5. Step 5: Solve for x
    x = 353,260.23/635.68
  6. Step 6: Final answer
    x = 555.72

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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.