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Finding the Fourth Proportional to 742.64, 1,113.21 and 376.32

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Solution

The fourth proportional to 742.64, 1,113.21 and 376.32 is: 564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.64 : 1,113.21 = 376.32 : x
  2. Step 2: Convert to fraction form
    742.64/1,113.21 = 376.32/x
  3. Step 3: Cross multiply
    742.64x = 1,113.21 × 376.32
  4. Step 4: Simplify right side
    742.64x = 418,923.19
  5. Step 5: Solve for x
    x = 418,923.19/742.64
  6. Step 6: Final answer
    x = 564.10

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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.