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Finding the Fourth Proportional to 940.79, 1,411.64 and 421.54

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Solution

The fourth proportional to 940.79, 1,411.64 and 421.54 is: 632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.79 : 1,411.64 = 421.54 : x
  2. Step 2: Convert to fraction form
    940.79/1,411.64 = 421.54/x
  3. Step 3: Cross multiply
    940.79x = 1,411.64 × 421.54
  4. Step 4: Simplify right side
    940.79x = 595,062.73
  5. Step 5: Solve for x
    x = 595,062.73/940.79
  6. Step 6: Final answer
    x = 632.51

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Double scale
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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.