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Finding the Fourth Proportional to 611.04, 912.72 and 513.84

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Solution

The fourth proportional to 611.04, 912.72 and 513.84 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 912.72 = 513.84 : x
  2. Step 2: Convert to fraction form
    611.04/912.72 = 513.84/x
  3. Step 3: Cross multiply
    611.04x = 912.72 × 513.84
  4. Step 4: Simplify right side
    611.04x = 468,992.04
  5. Step 5: Solve for x
    x = 468,992.04/611.04
  6. Step 6: Final answer
    x = 767.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.