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Finding the Fourth Proportional to 492.05, 678.88 and 317.49

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Solution

The fourth proportional to 492.05, 678.88 and 317.49 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.05 : 678.88 = 317.49 : x
  2. Step 2: Convert to fraction form
    492.05/678.88 = 317.49/x
  3. Step 3: Cross multiply
    492.05x = 678.88 × 317.49
  4. Step 4: Simplify right side
    492.05x = 215,538.40
  5. Step 5: Solve for x
    x = 215,538.40/492.05
  6. Step 6: Final answer
    x = 438.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.