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Finding the Fourth Proportional to 842.02, 1,263.05 and 475.90

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Solution

The fourth proportional to 842.02, 1,263.05 and 475.90 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,263.05 = 475.90 : x
  2. Step 2: Convert to fraction form
    842.02/1,263.05 = 475.90/x
  3. Step 3: Cross multiply
    842.02x = 1,263.05 × 475.90
  4. Step 4: Simplify right side
    842.02x = 601,085.50
  5. Step 5: Solve for x
    x = 601,085.50/842.02
  6. Step 6: Final answer
    x = 713.86

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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.