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Finding the Fourth Proportional to 1,061.56, 1,463.70 and 983.80

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Solution

The fourth proportional to 1,061.56, 1,463.70 and 983.80 is: 1,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.56 : 1,463.70 = 983.80 : x
  2. Step 2: Convert to fraction form
    1,061.56/1,463.70 = 983.80/x
  3. Step 3: Cross multiply
    1,061.56x = 1,463.70 × 983.80
  4. Step 4: Simplify right side
    1,061.56x = 1,439,988.06
  5. Step 5: Solve for x
    x = 1,439,988.06/1,061.56
  6. Step 6: Final answer
    x = 1,356.48

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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.