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Finding the Fourth Proportional to 946.92, 1,304.96 and 684.48

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Solution

The fourth proportional to 946.92, 1,304.96 and 684.48 is: 943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.92 : 1,304.96 = 684.48 : x
  2. Step 2: Convert to fraction form
    946.92/1,304.96 = 684.48/x
  3. Step 3: Cross multiply
    946.92x = 1,304.96 × 684.48
  4. Step 4: Simplify right side
    946.92x = 893,219.02
  5. Step 5: Solve for x
    x = 893,219.02/946.92
  6. Step 6: Final answer
    x = 943.29

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1.5x scale

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.