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Finding the Fourth Proportional to 719.68, 1,080.05 and 286.96

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Solution

The fourth proportional to 719.68, 1,080.05 and 286.96 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.68 : 1,080.05 = 286.96 : x
  2. Step 2: Convert to fraction form
    719.68/1,080.05 = 286.96/x
  3. Step 3: Cross multiply
    719.68x = 1,080.05 × 286.96
  4. Step 4: Simplify right side
    719.68x = 309,929.71
  5. Step 5: Solve for x
    x = 309,929.71/719.68
  6. Step 6: Final answer
    x = 430.65

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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.