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Finding the Fourth Proportional to 426.61, 639.35 and 415.88

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Solution

The fourth proportional to 426.61, 639.35 and 415.88 is: 623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.61 : 639.35 = 415.88 : x
  2. Step 2: Convert to fraction form
    426.61/639.35 = 415.88/x
  3. Step 3: Cross multiply
    426.61x = 639.35 × 415.88
  4. Step 4: Simplify right side
    426.61x = 265,892.88
  5. Step 5: Solve for x
    x = 265,892.88/426.61
  6. Step 6: Final answer
    x = 623.27

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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.