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Finding the Fourth Proportional to 1,200.72, 1,801.28 and 470.28

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Solution

The fourth proportional to 1,200.72, 1,801.28 and 470.28 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.72 : 1,801.28 = 470.28 : x
  2. Step 2: Convert to fraction form
    1,200.72/1,801.28 = 470.28/x
  3. Step 3: Cross multiply
    1,200.72x = 1,801.28 × 470.28
  4. Step 4: Simplify right side
    1,200.72x = 847,105.96
  5. Step 5: Solve for x
    x = 847,105.96/1,200.72
  6. Step 6: Final answer
    x = 705.50

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Double scale
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1.5x scale

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.