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Finding the Fourth Proportional to 906.12, 1,357.05 and 442.45

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Solution

The fourth proportional to 906.12, 1,357.05 and 442.45 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.12 : 1,357.05 = 442.45 : x
  2. Step 2: Convert to fraction form
    906.12/1,357.05 = 442.45/x
  3. Step 3: Cross multiply
    906.12x = 1,357.05 × 442.45
  4. Step 4: Simplify right side
    906.12x = 600,426.77
  5. Step 5: Solve for x
    x = 600,426.77/906.12
  6. Step 6: Final answer
    x = 662.63

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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.