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Finding the Fourth Proportional to 689.15, 1,033.19 and 483.10

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Solution

The fourth proportional to 689.15, 1,033.19 and 483.10 is: 724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.15 : 1,033.19 = 483.10 : x
  2. Step 2: Convert to fraction form
    689.15/1,033.19 = 483.10/x
  3. Step 3: Cross multiply
    689.15x = 1,033.19 × 483.10
  4. Step 4: Simplify right side
    689.15x = 499,134.09
  5. Step 5: Solve for x
    x = 499,134.09/689.15
  6. Step 6: Final answer
    x = 724.27

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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.