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Finding the Fourth Proportional to 1,200.21, 1,654.39 and 904.96

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Solution

The fourth proportional to 1,200.21, 1,654.39 and 904.96 is: 1,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.21 : 1,654.39 = 904.96 : x
  2. Step 2: Convert to fraction form
    1,200.21/1,654.39 = 904.96/x
  3. Step 3: Cross multiply
    1,200.21x = 1,654.39 × 904.96
  4. Step 4: Simplify right side
    1,200.21x = 1,497,156.77
  5. Step 5: Solve for x
    x = 1,497,156.77/1,200.21
  6. Step 6: Final answer
    x = 1,247.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.