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Finding the Fourth Proportional to 530.22, 796.02 and 345.42

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Solution

The fourth proportional to 530.22, 796.02 and 345.42 is: 518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 796.02 = 345.42 : x
  2. Step 2: Convert to fraction form
    530.22/796.02 = 345.42/x
  3. Step 3: Cross multiply
    530.22x = 796.02 × 345.42
  4. Step 4: Simplify right side
    530.22x = 274,961.23
  5. Step 5: Solve for x
    x = 274,961.23/530.22
  6. Step 6: Final answer
    x = 518.58

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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.