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Finding the Fourth Proportional to 492.32, 678.74 and 422.07

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Solution

The fourth proportional to 492.32, 678.74 and 422.07 is: 581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.32 : 678.74 = 422.07 : x
  2. Step 2: Convert to fraction form
    492.32/678.74 = 422.07/x
  3. Step 3: Cross multiply
    492.32x = 678.74 × 422.07
  4. Step 4: Simplify right side
    492.32x = 286,475.38
  5. Step 5: Solve for x
    x = 286,475.38/492.32
  6. Step 6: Final answer
    x = 581.89

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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.