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Finding the Fourth Proportional to 970.44, 1,338.69 and 784.14

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Solution

The fourth proportional to 970.44, 1,338.69 and 784.14 is: 1,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.44 : 1,338.69 = 784.14 : x
  2. Step 2: Convert to fraction form
    970.44/1,338.69 = 784.14/x
  3. Step 3: Cross multiply
    970.44x = 1,338.69 × 784.14
  4. Step 4: Simplify right side
    970.44x = 1,049,720.38
  5. Step 5: Solve for x
    x = 1,049,720.38/970.44
  6. Step 6: Final answer
    x = 1,081.70

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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.