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Finding the Fourth Proportional to 906.84, 1,243.26 and 882.36

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Solution

The fourth proportional to 906.84, 1,243.26 and 882.36 is: 1,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.84 : 1,243.26 = 882.36 : x
  2. Step 2: Convert to fraction form
    906.84/1,243.26 = 882.36/x
  3. Step 3: Cross multiply
    906.84x = 1,243.26 × 882.36
  4. Step 4: Simplify right side
    906.84x = 1,097,002.89
  5. Step 5: Solve for x
    x = 1,097,002.89/906.84
  6. Step 6: Final answer
    x = 1,209.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.