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Finding the Fourth Proportional to 906.14, 1,359.21 and 583.55

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Solution

The fourth proportional to 906.14, 1,359.21 and 583.55 is: 875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.14 : 1,359.21 = 583.55 : x
  2. Step 2: Convert to fraction form
    906.14/1,359.21 = 583.55/x
  3. Step 3: Cross multiply
    906.14x = 1,359.21 × 583.55
  4. Step 4: Simplify right side
    906.14x = 793,170.21
  5. Step 5: Solve for x
    x = 793,170.21/906.14
  6. Step 6: Final answer
    x = 875.33

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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.