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Finding the Fourth Proportional to 699.63, 1,049.44 and 283.15

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Solution

The fourth proportional to 699.63, 1,049.44 and 283.15 is: 424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.63 : 1,049.44 = 283.15 : x
  2. Step 2: Convert to fraction form
    699.63/1,049.44 = 283.15/x
  3. Step 3: Cross multiply
    699.63x = 1,049.44 × 283.15
  4. Step 4: Simplify right side
    699.63x = 297,148.94
  5. Step 5: Solve for x
    x = 297,148.94/699.63
  6. Step 6: Final answer
    x = 424.72

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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.