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Finding the Fourth Proportional to 906.21, 1,359.30 and 583.65

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Solution

The fourth proportional to 906.21, 1,359.30 and 583.65 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.21 : 1,359.30 = 583.65 : x
  2. Step 2: Convert to fraction form
    906.21/1,359.30 = 583.65/x
  3. Step 3: Cross multiply
    906.21x = 1,359.30 × 583.65
  4. Step 4: Simplify right side
    906.21x = 793,355.45
  5. Step 5: Solve for x
    x = 793,355.45/906.21
  6. Step 6: Final answer
    x = 875.47

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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.