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Finding the Fourth Proportional to 941.26, 1,412.09 and 283.08

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Solution

The fourth proportional to 941.26, 1,412.09 and 283.08 is: 424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.26 : 1,412.09 = 283.08 : x
  2. Step 2: Convert to fraction form
    941.26/1,412.09 = 283.08/x
  3. Step 3: Cross multiply
    941.26x = 1,412.09 × 283.08
  4. Step 4: Simplify right side
    941.26x = 399,734.61
  5. Step 5: Solve for x
    x = 399,734.61/941.26
  6. Step 6: Final answer
    x = 424.68

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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.