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Finding the Fourth Proportional to 1,272.41, 1,754.76 and 973.67

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Solution

The fourth proportional to 1,272.41, 1,754.76 and 973.67 is: 1,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.41 : 1,754.76 = 973.67 : x
  2. Step 2: Convert to fraction form
    1,272.41/1,754.76 = 973.67/x
  3. Step 3: Cross multiply
    1,272.41x = 1,754.76 × 973.67
  4. Step 4: Simplify right side
    1,272.41x = 1,708,561.92
  5. Step 5: Solve for x
    x = 1,708,561.92/1,272.41
  6. Step 6: Final answer
    x = 1,342.78

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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.