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Finding the Fourth Proportional to 703.34, 1,056.09 and 690.38

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Solution

The fourth proportional to 703.34, 1,056.09 and 690.38 is: 1,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.34 : 1,056.09 = 690.38 : x
  2. Step 2: Convert to fraction form
    703.34/1,056.09 = 690.38/x
  3. Step 3: Cross multiply
    703.34x = 1,056.09 × 690.38
  4. Step 4: Simplify right side
    703.34x = 729,103.41
  5. Step 5: Solve for x
    x = 729,103.41/703.34
  6. Step 6: Final answer
    x = 1,036.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.