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Finding the Fourth Proportional to 985.74, 1,360.41 and 543.73

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Solution

The fourth proportional to 985.74, 1,360.41 and 543.73 is: 750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.74 : 1,360.41 = 543.73 : x
  2. Step 2: Convert to fraction form
    985.74/1,360.41 = 543.73/x
  3. Step 3: Cross multiply
    985.74x = 1,360.41 × 543.73
  4. Step 4: Simplify right side
    985.74x = 739,695.73
  5. Step 5: Solve for x
    x = 739,695.73/985.74
  6. Step 6: Final answer
    x = 750.40

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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.