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Finding the Fourth Proportional to 448.92, 671.58 and 312

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Solution

The fourth proportional to 448.92, 671.58 and 312 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 671.58 = 312 : x
  2. Step 2: Convert to fraction form
    448.92/671.58 = 312/x
  3. Step 3: Cross multiply
    448.92x = 671.58 × 312
  4. Step 4: Simplify right side
    448.92x = 209,532.96
  5. Step 5: Solve for x
    x = 209,532.96/448.92
  6. Step 6: Final answer
    x = 466.75

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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.