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Finding the Fourth Proportional to 1,279.51, 1,765.76 and 719.95

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Solution

The fourth proportional to 1,279.51, 1,765.76 and 719.95 is: 993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.51 : 1,765.76 = 719.95 : x
  2. Step 2: Convert to fraction form
    1,279.51/1,765.76 = 719.95/x
  3. Step 3: Cross multiply
    1,279.51x = 1,765.76 × 719.95
  4. Step 4: Simplify right side
    1,279.51x = 1,271,258.91
  5. Step 5: Solve for x
    x = 1,271,258.91/1,279.51
  6. Step 6: Final answer
    x = 993.55

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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.