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Finding the Fourth Proportional to 1,224.68, 1,829.46 and 981.68

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Solution

The fourth proportional to 1,224.68, 1,829.46 and 981.68 is: 1,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,829.46 = 981.68 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,829.46 = 981.68/x
  3. Step 3: Cross multiply
    1,224.68x = 1,829.46 × 981.68
  4. Step 4: Simplify right side
    1,224.68x = 1,795,939.38
  5. Step 5: Solve for x
    x = 1,795,939.38/1,224.68
  6. Step 6: Final answer
    x = 1,466.46

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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.