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Finding the Fourth Proportional to 941.60, 1,412.40 and 613.55

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Solution

The fourth proportional to 941.60, 1,412.40 and 613.55 is: 920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.60 : 1,412.40 = 613.55 : x
  2. Step 2: Convert to fraction form
    941.60/1,412.40 = 613.55/x
  3. Step 3: Cross multiply
    941.60x = 1,412.40 × 613.55
  4. Step 4: Simplify right side
    941.60x = 866,578.02
  5. Step 5: Solve for x
    x = 866,578.02/941.60
  6. Step 6: Final answer
    x = 920.33

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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.