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Finding the Fourth Proportional to 634.60, 946.42 and 581.46

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Solution

The fourth proportional to 634.60, 946.42 and 581.46 is: 867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.60 : 946.42 = 581.46 : x
  2. Step 2: Convert to fraction form
    634.60/946.42 = 581.46/x
  3. Step 3: Cross multiply
    634.60x = 946.42 × 581.46
  4. Step 4: Simplify right side
    634.60x = 550,305.37
  5. Step 5: Solve for x
    x = 550,305.37/634.60
  6. Step 6: Final answer
    x = 867.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.