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Finding the Fourth Proportional to 985.35, 1,478.84 and 698.61

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Solution

The fourth proportional to 985.35, 1,478.84 and 698.61 is: 1,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.35 : 1,478.84 = 698.61 : x
  2. Step 2: Convert to fraction form
    985.35/1,478.84 = 698.61/x
  3. Step 3: Cross multiply
    985.35x = 1,478.84 × 698.61
  4. Step 4: Simplify right side
    985.35x = 1,033,128.92
  5. Step 5: Solve for x
    x = 1,033,128.92/985.35
  6. Step 6: Final answer
    x = 1,048.49

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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.