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Finding the Fourth Proportional to 930.66, 1,396.34 and 437.32

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Solution

The fourth proportional to 930.66, 1,396.34 and 437.32 is: 656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.66 : 1,396.34 = 437.32 : x
  2. Step 2: Convert to fraction form
    930.66/1,396.34 = 437.32/x
  3. Step 3: Cross multiply
    930.66x = 1,396.34 × 437.32
  4. Step 4: Simplify right side
    930.66x = 610,647.41
  5. Step 5: Solve for x
    x = 610,647.41/930.66
  6. Step 6: Final answer
    x = 656.14

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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.