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Finding the Fourth Proportional to 931.08, 1,396.62 and 442.65

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Solution

The fourth proportional to 931.08, 1,396.62 and 442.65 is: 663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.08 : 1,396.62 = 442.65 : x
  2. Step 2: Convert to fraction form
    931.08/1,396.62 = 442.65/x
  3. Step 3: Cross multiply
    931.08x = 1,396.62 × 442.65
  4. Step 4: Simplify right side
    931.08x = 618,213.84
  5. Step 5: Solve for x
    x = 618,213.84/931.08
  6. Step 6: Final answer
    x = 663.98

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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.