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Finding the Fourth Proportional to 983.08, 1,473.57 and 366.37

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Solution

The fourth proportional to 983.08, 1,473.57 and 366.37 is: 549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.08 : 1,473.57 = 366.37 : x
  2. Step 2: Convert to fraction form
    983.08/1,473.57 = 366.37/x
  3. Step 3: Cross multiply
    983.08x = 1,473.57 × 366.37
  4. Step 4: Simplify right side
    983.08x = 539,871.84
  5. Step 5: Solve for x
    x = 539,871.84/983.08
  6. Step 6: Final answer
    x = 549.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.