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Finding the Fourth Proportional to 682.94, 942.88 and 473.04

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Solution

The fourth proportional to 682.94, 942.88 and 473.04 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.94 : 942.88 = 473.04 : x
  2. Step 2: Convert to fraction form
    682.94/942.88 = 473.04/x
  3. Step 3: Cross multiply
    682.94x = 942.88 × 473.04
  4. Step 4: Simplify right side
    682.94x = 446,017.01
  5. Step 5: Solve for x
    x = 446,017.01/682.94
  6. Step 6: Final answer
    x = 653.09

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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.