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Finding the Fourth Proportional to 415.96, 624.62 and 348.01

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Solution

The fourth proportional to 415.96, 624.62 and 348.01 is: 522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 624.62 = 348.01 : x
  2. Step 2: Convert to fraction form
    415.96/624.62 = 348.01/x
  3. Step 3: Cross multiply
    415.96x = 624.62 × 348.01
  4. Step 4: Simplify right side
    415.96x = 217,373.31
  5. Step 5: Solve for x
    x = 217,373.31/415.96
  6. Step 6: Final answer
    x = 522.59

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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.