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Finding the Fourth Proportional to 612.64, 919.72 and 324.24

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Solution

The fourth proportional to 612.64, 919.72 and 324.24 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.64 : 919.72 = 324.24 : x
  2. Step 2: Convert to fraction form
    612.64/919.72 = 324.24/x
  3. Step 3: Cross multiply
    612.64x = 919.72 × 324.24
  4. Step 4: Simplify right side
    612.64x = 298,210.01
  5. Step 5: Solve for x
    x = 298,210.01/612.64
  6. Step 6: Final answer
    x = 486.76

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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.