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Finding the Fourth Proportional to 983.16, 1,356.76 and 541.06

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Solution

The fourth proportional to 983.16, 1,356.76 and 541.06 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.16 : 1,356.76 = 541.06 : x
  2. Step 2: Convert to fraction form
    983.16/1,356.76 = 541.06/x
  3. Step 3: Cross multiply
    983.16x = 1,356.76 × 541.06
  4. Step 4: Simplify right side
    983.16x = 734,091.28
  5. Step 5: Solve for x
    x = 734,091.28/983.16
  6. Step 6: Final answer
    x = 746.66

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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.