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Finding the Fourth Proportional to 904.78, 1,357.56 and 442.42

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Solution

The fourth proportional to 904.78, 1,357.56 and 442.42 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.78 : 1,357.56 = 442.42 : x
  2. Step 2: Convert to fraction form
    904.78/1,357.56 = 442.42/x
  3. Step 3: Cross multiply
    904.78x = 1,357.56 × 442.42
  4. Step 4: Simplify right side
    904.78x = 600,611.70
  5. Step 5: Solve for x
    x = 600,611.70/904.78
  6. Step 6: Final answer
    x = 663.82

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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.