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Finding the Fourth Proportional to 464.64, 695.36 and 310.56

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Solution

The fourth proportional to 464.64, 695.36 and 310.56 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 695.36 = 310.56 : x
  2. Step 2: Convert to fraction form
    464.64/695.36 = 310.56/x
  3. Step 3: Cross multiply
    464.64x = 695.36 × 310.56
  4. Step 4: Simplify right side
    464.64x = 215,951.00
  5. Step 5: Solve for x
    x = 215,951.00/464.64
  6. Step 6: Final answer
    x = 464.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.