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Finding the Fourth Proportional to 770.33, 1,064.19 and 712.01

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Solution

The fourth proportional to 770.33, 1,064.19 and 712.01 is: 983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,064.19 = 712.01 : x
  2. Step 2: Convert to fraction form
    770.33/1,064.19 = 712.01/x
  3. Step 3: Cross multiply
    770.33x = 1,064.19 × 712.01
  4. Step 4: Simplify right side
    770.33x = 757,708.60
  5. Step 5: Solve for x
    x = 757,708.60/770.33
  6. Step 6: Final answer
    x = 983.62

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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.