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Finding the Fourth Proportional to 941.25, 1,412.15 and 283.18

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Solution

The fourth proportional to 941.25, 1,412.15 and 283.18 is: 424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.25 : 1,412.15 = 283.18 : x
  2. Step 2: Convert to fraction form
    941.25/1,412.15 = 283.18/x
  3. Step 3: Cross multiply
    941.25x = 1,412.15 × 283.18
  4. Step 4: Simplify right side
    941.25x = 399,892.64
  5. Step 5: Solve for x
    x = 399,892.64/941.25
  6. Step 6: Final answer
    x = 424.85

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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.