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Finding the Fourth Proportional to 703.72, 968.40 and 649

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Solution

The fourth proportional to 703.72, 968.40 and 649 is: 893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.72 : 968.40 = 649 : x
  2. Step 2: Convert to fraction form
    703.72/968.40 = 649/x
  3. Step 3: Cross multiply
    703.72x = 968.40 × 649
  4. Step 4: Simplify right side
    703.72x = 628,491.60
  5. Step 5: Solve for x
    x = 628,491.60/703.72
  6. Step 6: Final answer
    x = 893.10

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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.