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Finding the Fourth Proportional to 970.49, 1,339.42 and 911.11

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Solution

The fourth proportional to 970.49, 1,339.42 and 911.11 is: 1,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.49 : 1,339.42 = 911.11 : x
  2. Step 2: Convert to fraction form
    970.49/1,339.42 = 911.11/x
  3. Step 3: Cross multiply
    970.49x = 1,339.42 × 911.11
  4. Step 4: Simplify right side
    970.49x = 1,220,353.33
  5. Step 5: Solve for x
    x = 1,220,353.33/970.49
  6. Step 6: Final answer
    x = 1,257.46

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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.