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Finding the Fourth Proportional to 707.68, 968.42 and 692.56

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Solution

The fourth proportional to 707.68, 968.42 and 692.56 is: 947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.68 : 968.42 = 692.56 : x
  2. Step 2: Convert to fraction form
    707.68/968.42 = 692.56/x
  3. Step 3: Cross multiply
    707.68x = 968.42 × 692.56
  4. Step 4: Simplify right side
    707.68x = 670,688.96
  5. Step 5: Solve for x
    x = 670,688.96/707.68
  6. Step 6: Final answer
    x = 947.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.