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Finding the Fourth Proportional to 705.74, 972.87 and 495.24

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Solution

The fourth proportional to 705.74, 972.87 and 495.24 is: 682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.74 : 972.87 = 495.24 : x
  2. Step 2: Convert to fraction form
    705.74/972.87 = 495.24/x
  3. Step 3: Cross multiply
    705.74x = 972.87 × 495.24
  4. Step 4: Simplify right side
    705.74x = 481,804.14
  5. Step 5: Solve for x
    x = 481,804.14/705.74
  6. Step 6: Final answer
    x = 682.70

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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.