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Finding the Fourth Proportional to 981.54, 1,461.60 and 946.53

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Solution

The fourth proportional to 981.54, 1,461.60 and 946.53 is: 1,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.54 : 1,461.60 = 946.53 : x
  2. Step 2: Convert to fraction form
    981.54/1,461.60 = 946.53/x
  3. Step 3: Cross multiply
    981.54x = 1,461.60 × 946.53
  4. Step 4: Simplify right side
    981.54x = 1,383,448.25
  5. Step 5: Solve for x
    x = 1,383,448.25/981.54
  6. Step 6: Final answer
    x = 1,409.47

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1.5x scale

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.