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Finding the Fourth Proportional to 671.32, 1,007.10 and 305.80

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Solution

The fourth proportional to 671.32, 1,007.10 and 305.80 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,007.10 = 305.80 : x
  2. Step 2: Convert to fraction form
    671.32/1,007.10 = 305.80/x
  3. Step 3: Cross multiply
    671.32x = 1,007.10 × 305.80
  4. Step 4: Simplify right side
    671.32x = 307,971.18
  5. Step 5: Solve for x
    x = 307,971.18/671.32
  6. Step 6: Final answer
    x = 458.75

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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.