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Finding the Fourth Proportional to 464.61, 640.89 and 307.25

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Solution

The fourth proportional to 464.61, 640.89 and 307.25 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.61 : 640.89 = 307.25 : x
  2. Step 2: Convert to fraction form
    464.61/640.89 = 307.25/x
  3. Step 3: Cross multiply
    464.61x = 640.89 × 307.25
  4. Step 4: Simplify right side
    464.61x = 196,913.45
  5. Step 5: Solve for x
    x = 196,913.45/464.61
  6. Step 6: Final answer
    x = 423.83

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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.