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Finding the Fourth Proportional to 906.37, 1,358.61 and 419.02

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Solution

The fourth proportional to 906.37, 1,358.61 and 419.02 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.37 : 1,358.61 = 419.02 : x
  2. Step 2: Convert to fraction form
    906.37/1,358.61 = 419.02/x
  3. Step 3: Cross multiply
    906.37x = 1,358.61 × 419.02
  4. Step 4: Simplify right side
    906.37x = 569,284.76
  5. Step 5: Solve for x
    x = 569,284.76/906.37
  6. Step 6: Final answer
    x = 628.09

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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.