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Finding the Fourth Proportional to 698.63, 1,046.90 and 552.74

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Solution

The fourth proportional to 698.63, 1,046.90 and 552.74 is: 828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 1,046.90 = 552.74 : x
  2. Step 2: Convert to fraction form
    698.63/1,046.90 = 552.74/x
  3. Step 3: Cross multiply
    698.63x = 1,046.90 × 552.74
  4. Step 4: Simplify right side
    698.63x = 578,659.65
  5. Step 5: Solve for x
    x = 578,659.65/698.63
  6. Step 6: Final answer
    x = 828.28

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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.