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Finding the Fourth Proportional to 985.41, 1,359.82 and 543.23

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Solution

The fourth proportional to 985.41, 1,359.82 and 543.23 is: 749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.41 : 1,359.82 = 543.23 : x
  2. Step 2: Convert to fraction form
    985.41/1,359.82 = 543.23/x
  3. Step 3: Cross multiply
    985.41x = 1,359.82 × 543.23
  4. Step 4: Simplify right side
    985.41x = 738,695.02
  5. Step 5: Solve for x
    x = 738,695.02/985.41
  6. Step 6: Final answer
    x = 749.63

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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.