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Finding the Fourth Proportional to 647.24, 963.86 and 605.72

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Solution

The fourth proportional to 647.24, 963.86 and 605.72 is: 902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 963.86 = 605.72 : x
  2. Step 2: Convert to fraction form
    647.24/963.86 = 605.72/x
  3. Step 3: Cross multiply
    647.24x = 963.86 × 605.72
  4. Step 4: Simplify right side
    647.24x = 583,829.28
  5. Step 5: Solve for x
    x = 583,829.28/647.24
  6. Step 6: Final answer
    x = 902.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.