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Finding the Fourth Proportional to 902.90, 1,337.06 and 902.90

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Solution

The fourth proportional to 902.90, 1,337.06 and 902.90 is: 1,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.90 : 1,337.06 = 902.90 : x
  2. Step 2: Convert to fraction form
    902.90/1,337.06 = 902.90/x
  3. Step 3: Cross multiply
    902.90x = 1,337.06 × 902.90
  4. Step 4: Simplify right side
    902.90x = 1,207,231.47
  5. Step 5: Solve for x
    x = 1,207,231.47/902.90
  6. Step 6: Final answer
    x = 1,337.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.