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Finding the Fourth Proportional to 705.45, 973.12 and 495.54

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Solution

The fourth proportional to 705.45, 973.12 and 495.54 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.45 : 973.12 = 495.54 : x
  2. Step 2: Convert to fraction form
    705.45/973.12 = 495.54/x
  3. Step 3: Cross multiply
    705.45x = 973.12 × 495.54
  4. Step 4: Simplify right side
    705.45x = 482,219.88
  5. Step 5: Solve for x
    x = 482,219.88/705.45
  6. Step 6: Final answer
    x = 683.56

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1.5x scale

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.