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Finding the Fourth Proportional to 706.15, 973.41 and 495.74

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Solution

The fourth proportional to 706.15, 973.41 and 495.74 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.15 : 973.41 = 495.74 : x
  2. Step 2: Convert to fraction form
    706.15/973.41 = 495.74/x
  3. Step 3: Cross multiply
    706.15x = 973.41 × 495.74
  4. Step 4: Simplify right side
    706.15x = 482,555.53
  5. Step 5: Solve for x
    x = 482,555.53/706.15
  6. Step 6: Final answer
    x = 683.36

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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.