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Finding the Fourth Proportional to 464.63, 641.03 and 317.00

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Solution

The fourth proportional to 464.63, 641.03 and 317.00 is: 437.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 641.03 = 317.00 : x
  2. Step 2: Convert to fraction form
    464.63/641.03 = 317.00/x
  3. Step 3: Cross multiply
    464.63x = 641.03 × 317.00
  4. Step 4: Simplify right side
    464.63x = 203,201.72
  5. Step 5: Solve for x
    x = 203,201.72/464.63
  6. Step 6: Final answer
    x = 437.35

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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.