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Finding the Fourth Proportional to 467.79, 644.54 and 312.27

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Solution

The fourth proportional to 467.79, 644.54 and 312.27 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.79 : 644.54 = 312.27 : x
  2. Step 2: Convert to fraction form
    467.79/644.54 = 312.27/x
  3. Step 3: Cross multiply
    467.79x = 644.54 × 312.27
  4. Step 4: Simplify right side
    467.79x = 201,268.94
  5. Step 5: Solve for x
    x = 201,268.94/467.79
  6. Step 6: Final answer
    x = 430.25

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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.