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Finding the Fourth Proportional to 703.41, 970.62 and 388.65

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Solution

The fourth proportional to 703.41, 970.62 and 388.65 is: 536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.41 : 970.62 = 388.65 : x
  2. Step 2: Convert to fraction form
    703.41/970.62 = 388.65/x
  3. Step 3: Cross multiply
    703.41x = 970.62 × 388.65
  4. Step 4: Simplify right side
    703.41x = 377,231.46
  5. Step 5: Solve for x
    x = 377,231.46/703.41
  6. Step 6: Final answer
    x = 536.29

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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.