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Finding the Fourth Proportional to 706.29, 973.65 and 495.82

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Solution

The fourth proportional to 706.29, 973.65 and 495.82 is: 683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.29 : 973.65 = 495.82 : x
  2. Step 2: Convert to fraction form
    706.29/973.65 = 495.82/x
  3. Step 3: Cross multiply
    706.29x = 973.65 × 495.82
  4. Step 4: Simplify right side
    706.29x = 482,758.22
  5. Step 5: Solve for x
    x = 482,758.22/706.29
  6. Step 6: Final answer
    x = 683.52

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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.