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Finding the Fourth Proportional to 683.67, 1,018.22 and 659.45

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Solution

The fourth proportional to 683.67, 1,018.22 and 659.45 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.67 : 1,018.22 = 659.45 : x
  2. Step 2: Convert to fraction form
    683.67/1,018.22 = 659.45/x
  3. Step 3: Cross multiply
    683.67x = 1,018.22 × 659.45
  4. Step 4: Simplify right side
    683.67x = 671,465.18
  5. Step 5: Solve for x
    x = 671,465.18/683.67
  6. Step 6: Final answer
    x = 982.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.