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Finding the Fourth Proportional to 770.94, 1,162.05 and 705.21

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Solution

The fourth proportional to 770.94, 1,162.05 and 705.21 is: 1,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.94 : 1,162.05 = 705.21 : x
  2. Step 2: Convert to fraction form
    770.94/1,162.05 = 705.21/x
  3. Step 3: Cross multiply
    770.94x = 1,162.05 × 705.21
  4. Step 4: Simplify right side
    770.94x = 819,489.28
  5. Step 5: Solve for x
    x = 819,489.28/770.94
  6. Step 6: Final answer
    x = 1,062.97

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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.