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Finding the Fourth Proportional to 512.34, 707.58 and 363.30

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Solution

The fourth proportional to 512.34, 707.58 and 363.30 is: 501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 707.58 = 363.30 : x
  2. Step 2: Convert to fraction form
    512.34/707.58 = 363.30/x
  3. Step 3: Cross multiply
    512.34x = 707.58 × 363.30
  4. Step 4: Simplify right side
    512.34x = 257,063.81
  5. Step 5: Solve for x
    x = 257,063.81/512.34
  6. Step 6: Final answer
    x = 501.74

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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.