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Finding the Fourth Proportional to 464.79, 645.92 and 458.99

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Solution

The fourth proportional to 464.79, 645.92 and 458.99 is: 637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 645.92 = 458.99 : x
  2. Step 2: Convert to fraction form
    464.79/645.92 = 458.99/x
  3. Step 3: Cross multiply
    464.79x = 645.92 × 458.99
  4. Step 4: Simplify right side
    464.79x = 296,465.30
  5. Step 5: Solve for x
    x = 296,465.30/464.79
  6. Step 6: Final answer
    x = 637.85

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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.