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Finding the Fourth Proportional to 703.85, 968.90 and 609.30

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Solution

The fourth proportional to 703.85, 968.90 and 609.30 is: 838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.85 : 968.90 = 609.30 : x
  2. Step 2: Convert to fraction form
    703.85/968.90 = 609.30/x
  3. Step 3: Cross multiply
    703.85x = 968.90 × 609.30
  4. Step 4: Simplify right side
    703.85x = 590,347.72
  5. Step 5: Solve for x
    x = 590,347.72/703.85
  6. Step 6: Final answer
    x = 838.75

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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.