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Finding the Fourth Proportional to 530.86, 796.72 and 348.22

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Solution

The fourth proportional to 530.86, 796.72 and 348.22 is: 522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.86 : 796.72 = 348.22 : x
  2. Step 2: Convert to fraction form
    530.86/796.72 = 348.22/x
  3. Step 3: Cross multiply
    530.86x = 796.72 × 348.22
  4. Step 4: Simplify right side
    530.86x = 277,433.84
  5. Step 5: Solve for x
    x = 277,433.84/530.86
  6. Step 6: Final answer
    x = 522.61

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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.