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Finding the Fourth Proportional to 906.31, 1,358.99 and 419.70

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Solution

The fourth proportional to 906.31, 1,358.99 and 419.70 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.31 : 1,358.99 = 419.70 : x
  2. Step 2: Convert to fraction form
    906.31/1,358.99 = 419.70/x
  3. Step 3: Cross multiply
    906.31x = 1,358.99 × 419.70
  4. Step 4: Simplify right side
    906.31x = 570,368.10
  5. Step 5: Solve for x
    x = 570,368.10/906.31
  6. Step 6: Final answer
    x = 629.33

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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.