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Finding the Fourth Proportional to 616.50, 847.44 and 541.98

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Solution

The fourth proportional to 616.50, 847.44 and 541.98 is: 745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 847.44 = 541.98 : x
  2. Step 2: Convert to fraction form
    616.50/847.44 = 541.98/x
  3. Step 3: Cross multiply
    616.50x = 847.44 × 541.98
  4. Step 4: Simplify right side
    616.50x = 459,295.53
  5. Step 5: Solve for x
    x = 459,295.53/616.50
  6. Step 6: Final answer
    x = 745.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.