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Finding the Fourth Proportional to 894.41, 1,342.40 and 749.06

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Solution

The fourth proportional to 894.41, 1,342.40 and 749.06 is: 1,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.41 : 1,342.40 = 749.06 : x
  2. Step 2: Convert to fraction form
    894.41/1,342.40 = 749.06/x
  3. Step 3: Cross multiply
    894.41x = 1,342.40 × 749.06
  4. Step 4: Simplify right side
    894.41x = 1,005,527.69
  5. Step 5: Solve for x
    x = 1,005,527.69/894.41
  6. Step 6: Final answer
    x = 1,124.24

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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.