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Finding the Fourth Proportional to 467.64, 699.86 and 313.56

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Solution

The fourth proportional to 467.64, 699.86 and 313.56 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 699.86 = 313.56 : x
  2. Step 2: Convert to fraction form
    467.64/699.86 = 313.56/x
  3. Step 3: Cross multiply
    467.64x = 699.86 × 313.56
  4. Step 4: Simplify right side
    467.64x = 219,448.10
  5. Step 5: Solve for x
    x = 219,448.10/467.64
  6. Step 6: Final answer
    x = 469.27

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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.