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Finding the Fourth Proportional to 1,200.28, 1,801.26 and 430.78

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Solution

The fourth proportional to 1,200.28, 1,801.26 and 430.78 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.28 : 1,801.26 = 430.78 : x
  2. Step 2: Convert to fraction form
    1,200.28/1,801.26 = 430.78/x
  3. Step 3: Cross multiply
    1,200.28x = 1,801.26 × 430.78
  4. Step 4: Simplify right side
    1,200.28x = 775,946.78
  5. Step 5: Solve for x
    x = 775,946.78/1,200.28
  6. Step 6: Final answer
    x = 646.47

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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.