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Finding the Fourth Proportional to 1,423.05, 2,134.86 and 601.32

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Solution

The fourth proportional to 1,423.05, 2,134.86 and 601.32 is: 902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.05 : 2,134.86 = 601.32 : x
  2. Step 2: Convert to fraction form
    1,423.05/2,134.86 = 601.32/x
  3. Step 3: Cross multiply
    1,423.05x = 2,134.86 × 601.32
  4. Step 4: Simplify right side
    1,423.05x = 1,283,734.02
  5. Step 5: Solve for x
    x = 1,283,734.02/1,423.05
  6. Step 6: Final answer
    x = 902.10

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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.