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Finding the Fourth Proportional to 970.09, 1,336.78 and 704.07

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Solution

The fourth proportional to 970.09, 1,336.78 and 704.07 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.09 : 1,336.78 = 704.07 : x
  2. Step 2: Convert to fraction form
    970.09/1,336.78 = 704.07/x
  3. Step 3: Cross multiply
    970.09x = 1,336.78 × 704.07
  4. Step 4: Simplify right side
    970.09x = 941,186.69
  5. Step 5: Solve for x
    x = 941,186.69/970.09
  6. Step 6: Final answer
    x = 970.21

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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.