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Finding the Fourth Proportional to 1,200.68, 1,801.02 and 470.76

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Solution

The fourth proportional to 1,200.68, 1,801.02 and 470.76 is: 706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.68 : 1,801.02 = 470.76 : x
  2. Step 2: Convert to fraction form
    1,200.68/1,801.02 = 470.76/x
  3. Step 3: Cross multiply
    1,200.68x = 1,801.02 × 470.76
  4. Step 4: Simplify right side
    1,200.68x = 847,848.18
  5. Step 5: Solve for x
    x = 847,848.18/1,200.68
  6. Step 6: Final answer
    x = 706.14

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Double scale
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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.