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Finding the Fourth Proportional to 705.74, 973.17 and 495.84

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Solution

The fourth proportional to 705.74, 973.17 and 495.84 is: 683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.74 : 973.17 = 495.84 : x
  2. Step 2: Convert to fraction form
    705.74/973.17 = 495.84/x
  3. Step 3: Cross multiply
    705.74x = 973.17 × 495.84
  4. Step 4: Simplify right side
    705.74x = 482,536.61
  5. Step 5: Solve for x
    x = 482,536.61/705.74
  6. Step 6: Final answer
    x = 683.74

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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.