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Finding the Fourth Proportional to 840.70, 1,262.11 and 533.84

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Solution

The fourth proportional to 840.70, 1,262.11 and 533.84 is: 801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.70 : 1,262.11 = 533.84 : x
  2. Step 2: Convert to fraction form
    840.70/1,262.11 = 533.84/x
  3. Step 3: Cross multiply
    840.70x = 1,262.11 × 533.84
  4. Step 4: Simplify right side
    840.70x = 673,764.80
  5. Step 5: Solve for x
    x = 673,764.80/840.70
  6. Step 6: Final answer
    x = 801.43

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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.