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Finding the Fourth Proportional to 1,201.10, 1,801.47 and 421.04

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Solution

The fourth proportional to 1,201.10, 1,801.47 and 421.04 is: 631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.10 : 1,801.47 = 421.04 : x
  2. Step 2: Convert to fraction form
    1,201.10/1,801.47 = 421.04/x
  3. Step 3: Cross multiply
    1,201.10x = 1,801.47 × 421.04
  4. Step 4: Simplify right side
    1,201.10x = 758,490.93
  5. Step 5: Solve for x
    x = 758,490.93/1,201.10
  6. Step 6: Final answer
    x = 631.50

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Half scale
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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.