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Finding the Fourth Proportional to 642.60, 964.62 and 450.60

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Solution

The fourth proportional to 642.60, 964.62 and 450.60 is: 676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.60 : 964.62 = 450.60 : x
  2. Step 2: Convert to fraction form
    642.60/964.62 = 450.60/x
  3. Step 3: Cross multiply
    642.60x = 964.62 × 450.60
  4. Step 4: Simplify right side
    642.60x = 434,657.77
  5. Step 5: Solve for x
    x = 434,657.77/642.60
  6. Step 6: Final answer
    x = 676.40

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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.