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Finding the Fourth Proportional to 941.54, 1,412.31 and 454.34

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Solution

The fourth proportional to 941.54, 1,412.31 and 454.34 is: 681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.54 : 1,412.31 = 454.34 : x
  2. Step 2: Convert to fraction form
    941.54/1,412.31 = 454.34/x
  3. Step 3: Cross multiply
    941.54x = 1,412.31 × 454.34
  4. Step 4: Simplify right side
    941.54x = 641,668.93
  5. Step 5: Solve for x
    x = 641,668.93/941.54
  6. Step 6: Final answer
    x = 681.51

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Double scale
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Similar ratio
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1.5x scale

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.