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Finding the Fourth Proportional to 512.64, 707.58 and 326.16

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Solution

The fourth proportional to 512.64, 707.58 and 326.16 is: 450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 707.58 = 326.16 : x
  2. Step 2: Convert to fraction form
    512.64/707.58 = 326.16/x
  3. Step 3: Cross multiply
    512.64x = 707.58 × 326.16
  4. Step 4: Simplify right side
    512.64x = 230,784.29
  5. Step 5: Solve for x
    x = 230,784.29/512.64
  6. Step 6: Final answer
    x = 450.19

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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.