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Finding the Fourth Proportional to 902.14, 1,354.07 and 492.14

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Solution

The fourth proportional to 902.14, 1,354.07 and 492.14 is: 738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.14 : 1,354.07 = 492.14 : x
  2. Step 2: Convert to fraction form
    902.14/1,354.07 = 492.14/x
  3. Step 3: Cross multiply
    902.14x = 1,354.07 × 492.14
  4. Step 4: Simplify right side
    902.14x = 666,396.63
  5. Step 5: Solve for x
    x = 666,396.63/902.14
  6. Step 6: Final answer
    x = 738.69

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1.5x scale

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.