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Finding the Fourth Proportional to 1,201.34, 1,801.67 and 470.75

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Solution

The fourth proportional to 1,201.34, 1,801.67 and 470.75 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.34 : 1,801.67 = 470.75 : x
  2. Step 2: Convert to fraction form
    1,201.34/1,801.67 = 470.75/x
  3. Step 3: Cross multiply
    1,201.34x = 1,801.67 × 470.75
  4. Step 4: Simplify right side
    1,201.34x = 848,124.79
  5. Step 5: Solve for x
    x = 848,124.79/1,201.34
  6. Step 6: Final answer
    x = 705.98

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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.