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Finding the Fourth Proportional to 719.50, 1,079.70 and 286.69

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Solution

The fourth proportional to 719.50, 1,079.70 and 286.69 is: 430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.50 : 1,079.70 = 286.69 : x
  2. Step 2: Convert to fraction form
    719.50/1,079.70 = 286.69/x
  3. Step 3: Cross multiply
    719.50x = 1,079.70 × 286.69
  4. Step 4: Simplify right side
    719.50x = 309,539.19
  5. Step 5: Solve for x
    x = 309,539.19/719.50
  6. Step 6: Final answer
    x = 430.21

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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.