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Finding the Fourth Proportional to 699.76, 1,048.83 and 438.94

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Solution

The fourth proportional to 699.76, 1,048.83 and 438.94 is: 657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 1,048.83 = 438.94 : x
  2. Step 2: Convert to fraction form
    699.76/1,048.83 = 438.94/x
  3. Step 3: Cross multiply
    699.76x = 1,048.83 × 438.94
  4. Step 4: Simplify right side
    699.76x = 460,373.44
  5. Step 5: Solve for x
    x = 460,373.44/699.76
  6. Step 6: Final answer
    x = 657.90

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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.