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Finding the Fourth Proportional to 706.45, 973.90 and 616.92

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Solution

The fourth proportional to 706.45, 973.90 and 616.92 is: 850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.45 : 973.90 = 616.92 : x
  2. Step 2: Convert to fraction form
    706.45/973.90 = 616.92/x
  3. Step 3: Cross multiply
    706.45x = 973.90 × 616.92
  4. Step 4: Simplify right side
    706.45x = 600,813.77
  5. Step 5: Solve for x
    x = 600,813.77/706.45
  6. Step 6: Final answer
    x = 850.47

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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.