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Finding the Fourth Proportional to 705.48, 973.54 and 495.96

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Solution

The fourth proportional to 705.48, 973.54 and 495.96 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.48 : 973.54 = 495.96 : x
  2. Step 2: Convert to fraction form
    705.48/973.54 = 495.96/x
  3. Step 3: Cross multiply
    705.48x = 973.54 × 495.96
  4. Step 4: Simplify right side
    705.48x = 482,836.90
  5. Step 5: Solve for x
    x = 482,836.90/705.48
  6. Step 6: Final answer
    x = 684.41

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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.