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Finding the Fourth Proportional to 906.70, 1,359.87 and 359.32

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Solution

The fourth proportional to 906.70, 1,359.87 and 359.32 is: 538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.70 : 1,359.87 = 359.32 : x
  2. Step 2: Convert to fraction form
    906.70/1,359.87 = 359.32/x
  3. Step 3: Cross multiply
    906.70x = 1,359.87 × 359.32
  4. Step 4: Simplify right side
    906.70x = 488,628.49
  5. Step 5: Solve for x
    x = 488,628.49/906.70
  6. Step 6: Final answer
    x = 538.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.