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Finding the Fourth Proportional to 894.56, 1,341.24 and 407.72

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Solution

The fourth proportional to 894.56, 1,341.24 and 407.72 is: 611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.56 : 1,341.24 = 407.72 : x
  2. Step 2: Convert to fraction form
    894.56/1,341.24 = 407.72/x
  3. Step 3: Cross multiply
    894.56x = 1,341.24 × 407.72
  4. Step 4: Simplify right side
    894.56x = 546,850.37
  5. Step 5: Solve for x
    x = 546,850.37/894.56
  6. Step 6: Final answer
    x = 611.31

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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.