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Finding the Fourth Proportional to 941.42, 1,412.25 and 348.35

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Solution

The fourth proportional to 941.42, 1,412.25 and 348.35 is: 522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.42 : 1,412.25 = 348.35 : x
  2. Step 2: Convert to fraction form
    941.42/1,412.25 = 348.35/x
  3. Step 3: Cross multiply
    941.42x = 1,412.25 × 348.35
  4. Step 4: Simplify right side
    941.42x = 491,961.28
  5. Step 5: Solve for x
    x = 491,961.28/941.42
  6. Step 6: Final answer
    x = 522.58

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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.