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Finding the Fourth Proportional to 906.19, 1,359.52 and 350.73

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Solution

The fourth proportional to 906.19, 1,359.52 and 350.73 is: 526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,359.52 = 350.73 : x
  2. Step 2: Convert to fraction form
    906.19/1,359.52 = 350.73/x
  3. Step 3: Cross multiply
    906.19x = 1,359.52 × 350.73
  4. Step 4: Simplify right side
    906.19x = 476,823.57
  5. Step 5: Solve for x
    x = 476,823.57/906.19
  6. Step 6: Final answer
    x = 526.19

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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.