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Finding the Fourth Proportional to 842.77, 1,262.01 and 705.46

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Solution

The fourth proportional to 842.77, 1,262.01 and 705.46 is: 1,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.77 : 1,262.01 = 705.46 : x
  2. Step 2: Convert to fraction form
    842.77/1,262.01 = 705.46/x
  3. Step 3: Cross multiply
    842.77x = 1,262.01 × 705.46
  4. Step 4: Simplify right side
    842.77x = 890,297.57
  5. Step 5: Solve for x
    x = 890,297.57/842.77
  6. Step 6: Final answer
    x = 1,056.39

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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.