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Finding the Fourth Proportional to 894.67, 1,342.04 and 407.15

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Solution

The fourth proportional to 894.67, 1,342.04 and 407.15 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.67 : 1,342.04 = 407.15 : x
  2. Step 2: Convert to fraction form
    894.67/1,342.04 = 407.15/x
  3. Step 3: Cross multiply
    894.67x = 1,342.04 × 407.15
  4. Step 4: Simplify right side
    894.67x = 546,407.87
  5. Step 5: Solve for x
    x = 546,407.87/894.67
  6. Step 6: Final answer
    x = 610.74

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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.