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Finding the Fourth Proportional to 1,272.02, 1,754.97 and 830.50

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Solution

The fourth proportional to 1,272.02, 1,754.97 and 830.50 is: 1,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.02 : 1,754.97 = 830.50 : x
  2. Step 2: Convert to fraction form
    1,272.02/1,754.97 = 830.50/x
  3. Step 3: Cross multiply
    1,272.02x = 1,754.97 × 830.50
  4. Step 4: Simplify right side
    1,272.02x = 1,457,502.59
  5. Step 5: Solve for x
    x = 1,457,502.59/1,272.02
  6. Step 6: Final answer
    x = 1,145.82

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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.