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Finding the Fourth Proportional to 464.71, 640.91 and 307.35

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Solution

The fourth proportional to 464.71, 640.91 and 307.35 is: 423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.71 : 640.91 = 307.35 : x
  2. Step 2: Convert to fraction form
    464.71/640.91 = 307.35/x
  3. Step 3: Cross multiply
    464.71x = 640.91 × 307.35
  4. Step 4: Simplify right side
    464.71x = 196,983.69
  5. Step 5: Solve for x
    x = 196,983.69/464.71
  6. Step 6: Final answer
    x = 423.89

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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.