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Finding the Fourth Proportional to 841.14, 1,261.71 and 552.51

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Solution

The fourth proportional to 841.14, 1,261.71 and 552.51 is: 828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.14 : 1,261.71 = 552.51 : x
  2. Step 2: Convert to fraction form
    841.14/1,261.71 = 552.51/x
  3. Step 3: Cross multiply
    841.14x = 1,261.71 × 552.51
  4. Step 4: Simplify right side
    841.14x = 697,107.39
  5. Step 5: Solve for x
    x = 697,107.39/841.14
  6. Step 6: Final answer
    x = 828.77

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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.