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Finding the Fourth Proportional to 461.58, 640.50 and 443.76

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Solution

The fourth proportional to 461.58, 640.50 and 443.76 is: 615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 640.50 = 443.76 : x
  2. Step 2: Convert to fraction form
    461.58/640.50 = 443.76/x
  3. Step 3: Cross multiply
    461.58x = 640.50 × 443.76
  4. Step 4: Simplify right side
    461.58x = 284,225.08
  5. Step 5: Solve for x
    x = 284,225.08/461.58
  6. Step 6: Final answer
    x = 615.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.