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Finding the Fourth Proportional to 894.84, 1,240.63 and 848.14

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Solution

The fourth proportional to 894.84, 1,240.63 and 848.14 is: 1,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.84 : 1,240.63 = 848.14 : x
  2. Step 2: Convert to fraction form
    894.84/1,240.63 = 848.14/x
  3. Step 3: Cross multiply
    894.84x = 1,240.63 × 848.14
  4. Step 4: Simplify right side
    894.84x = 1,052,222.71
  5. Step 5: Solve for x
    x = 1,052,222.71/894.84
  6. Step 6: Final answer
    x = 1,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.