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Finding the Fourth Proportional to 530.99, 796.94 and 394.30

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Solution

The fourth proportional to 530.99, 796.94 and 394.30 is: 591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.99 : 796.94 = 394.30 : x
  2. Step 2: Convert to fraction form
    530.99/796.94 = 394.30/x
  3. Step 3: Cross multiply
    530.99x = 796.94 × 394.30
  4. Step 4: Simplify right side
    530.99x = 314,233.95
  5. Step 5: Solve for x
    x = 314,233.95/530.99
  6. Step 6: Final answer
    x = 591.79

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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.