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Finding the Fourth Proportional to 1,200.76, 1,801.14 and 470.55

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Solution

The fourth proportional to 1,200.76, 1,801.14 and 470.55 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.76 : 1,801.14 = 470.55 : x
  2. Step 2: Convert to fraction form
    1,200.76/1,801.14 = 470.55/x
  3. Step 3: Cross multiply
    1,200.76x = 1,801.14 × 470.55
  4. Step 4: Simplify right side
    1,200.76x = 847,526.43
  5. Step 5: Solve for x
    x = 847,526.43/1,200.76
  6. Step 6: Final answer
    x = 705.83

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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.