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Finding the Fourth Proportional to 706.17, 973.49 and 495.69

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Solution

The fourth proportional to 706.17, 973.49 and 495.69 is: 683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.17 : 973.49 = 495.69 : x
  2. Step 2: Convert to fraction form
    706.17/973.49 = 495.69/x
  3. Step 3: Cross multiply
    706.17x = 973.49 × 495.69
  4. Step 4: Simplify right side
    706.17x = 482,549.26
  5. Step 5: Solve for x
    x = 482,549.26/706.17
  6. Step 6: Final answer
    x = 683.33

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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.