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Finding the Fourth Proportional to 719.64, 1,079.61 and 257.43

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Solution

The fourth proportional to 719.64, 1,079.61 and 257.43 is: 386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.64 : 1,079.61 = 257.43 : x
  2. Step 2: Convert to fraction form
    719.64/1,079.61 = 257.43/x
  3. Step 3: Cross multiply
    719.64x = 1,079.61 × 257.43
  4. Step 4: Simplify right side
    719.64x = 277,924.00
  5. Step 5: Solve for x
    x = 277,924.00/719.64
  6. Step 6: Final answer
    x = 386.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.