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Finding the Fourth Proportional to 914.33, 1,370.12 and 548.72

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Solution

The fourth proportional to 914.33, 1,370.12 and 548.72 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.33 : 1,370.12 = 548.72 : x
  2. Step 2: Convert to fraction form
    914.33/1,370.12 = 548.72/x
  3. Step 3: Cross multiply
    914.33x = 1,370.12 × 548.72
  4. Step 4: Simplify right side
    914.33x = 751,812.25
  5. Step 5: Solve for x
    x = 751,812.25/914.33
  6. Step 6: Final answer
    x = 822.25

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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.