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Finding the Fourth Proportional to 946.60, 1,305.33 and 648.28

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Solution

The fourth proportional to 946.60, 1,305.33 and 648.28 is: 893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.60 : 1,305.33 = 648.28 : x
  2. Step 2: Convert to fraction form
    946.60/1,305.33 = 648.28/x
  3. Step 3: Cross multiply
    946.60x = 1,305.33 × 648.28
  4. Step 4: Simplify right side
    946.60x = 846,211.19
  5. Step 5: Solve for x
    x = 846,211.19/946.60
  6. Step 6: Final answer
    x = 893.95

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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.