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Finding the Fourth Proportional to 984.03, 1,358.19 and 770.91

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Solution

The fourth proportional to 984.03, 1,358.19 and 770.91 is: 1,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.03 : 1,358.19 = 770.91 : x
  2. Step 2: Convert to fraction form
    984.03/1,358.19 = 770.91/x
  3. Step 3: Cross multiply
    984.03x = 1,358.19 × 770.91
  4. Step 4: Simplify right side
    984.03x = 1,047,042.25
  5. Step 5: Solve for x
    x = 1,047,042.25/984.03
  6. Step 6: Final answer
    x = 1,064.03

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1.5x scale

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.