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Finding the Fourth Proportional to 894.42, 1,342.71 and 407.61

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Solution

The fourth proportional to 894.42, 1,342.71 and 407.61 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.42 : 1,342.71 = 407.61 : x
  2. Step 2: Convert to fraction form
    894.42/1,342.71 = 407.61/x
  3. Step 3: Cross multiply
    894.42x = 1,342.71 × 407.61
  4. Step 4: Simplify right side
    894.42x = 547,302.02
  5. Step 5: Solve for x
    x = 547,302.02/894.42
  6. Step 6: Final answer
    x = 611.91

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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.