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Finding the Fourth Proportional to 1,678.18, 2,315.96 and 970

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Solution

The fourth proportional to 1,678.18, 2,315.96 and 970 is: 1,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.18 : 2,315.96 = 970 : x
  2. Step 2: Convert to fraction form
    1,678.18/2,315.96 = 970/x
  3. Step 3: Cross multiply
    1,678.18x = 2,315.96 × 970
  4. Step 4: Simplify right side
    1,678.18x = 2,246,481.20
  5. Step 5: Solve for x
    x = 2,246,481.20/1,678.18
  6. Step 6: Final answer
    x = 1,338.64

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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.