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Finding the Fourth Proportional to 730.67, 1,101.51 and 683.69

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Solution

The fourth proportional to 730.67, 1,101.51 and 683.69 is: 1,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.67 : 1,101.51 = 683.69 : x
  2. Step 2: Convert to fraction form
    730.67/1,101.51 = 683.69/x
  3. Step 3: Cross multiply
    730.67x = 1,101.51 × 683.69
  4. Step 4: Simplify right side
    730.67x = 753,091.37
  5. Step 5: Solve for x
    x = 753,091.37/730.67
  6. Step 6: Final answer
    x = 1,030.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.