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Finding the Fourth Proportional to 918.35, 1,374.09 and 546.80

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Solution

The fourth proportional to 918.35, 1,374.09 and 546.80 is: 818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.35 : 1,374.09 = 546.80 : x
  2. Step 2: Convert to fraction form
    918.35/1,374.09 = 546.80/x
  3. Step 3: Cross multiply
    918.35x = 1,374.09 × 546.80
  4. Step 4: Simplify right side
    918.35x = 751,352.41
  5. Step 5: Solve for x
    x = 751,352.41/918.35
  6. Step 6: Final answer
    x = 818.15

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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.