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Finding the Fourth Proportional to 770.66, 1,064.36 and 712.34

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Solution

The fourth proportional to 770.66, 1,064.36 and 712.34 is: 983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.66 : 1,064.36 = 712.34 : x
  2. Step 2: Convert to fraction form
    770.66/1,064.36 = 712.34/x
  3. Step 3: Cross multiply
    770.66x = 1,064.36 × 712.34
  4. Step 4: Simplify right side
    770.66x = 758,182.66
  5. Step 5: Solve for x
    x = 758,182.66/770.66
  6. Step 6: Final answer
    x = 983.82

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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.