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Finding the Fourth Proportional to 977.69, 1,348.70 and 683.66

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Solution

The fourth proportional to 977.69, 1,348.70 and 683.66 is: 943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.69 : 1,348.70 = 683.66 : x
  2. Step 2: Convert to fraction form
    977.69/1,348.70 = 683.66/x
  3. Step 3: Cross multiply
    977.69x = 1,348.70 × 683.66
  4. Step 4: Simplify right side
    977.69x = 922,042.08
  5. Step 5: Solve for x
    x = 922,042.08/977.69
  6. Step 6: Final answer
    x = 943.09

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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.