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Finding the Fourth Proportional to 647.85, 976.61 and 605.53

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Solution

The fourth proportional to 647.85, 976.61 and 605.53 is: 912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.85 : 976.61 = 605.53 : x
  2. Step 2: Convert to fraction form
    647.85/976.61 = 605.53/x
  3. Step 3: Cross multiply
    647.85x = 976.61 × 605.53
  4. Step 4: Simplify right side
    647.85x = 591,360.49
  5. Step 5: Solve for x
    x = 591,360.49/647.85
  6. Step 6: Final answer
    x = 912.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.