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Finding the Fourth Proportional to 841, 1,260.78 and 429.88

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Solution

The fourth proportional to 841, 1,260.78 and 429.88 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    841 : 1,260.78 = 429.88 : x
  2. Step 2: Convert to fraction form
    841/1,260.78 = 429.88/x
  3. Step 3: Cross multiply
    841x = 1,260.78 × 429.88
  4. Step 4: Simplify right side
    841x = 541,984.11
  5. Step 5: Solve for x
    x = 541,984.11/841
  6. Step 6: Final answer
    x = 644.45

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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.