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Finding the Fourth Proportional to 612.09, 917.06 and 514.49

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Solution

The fourth proportional to 612.09, 917.06 and 514.49 is: 770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.09 : 917.06 = 514.49 : x
  2. Step 2: Convert to fraction form
    612.09/917.06 = 514.49/x
  3. Step 3: Cross multiply
    612.09x = 917.06 × 514.49
  4. Step 4: Simplify right side
    612.09x = 471,811.04
  5. Step 5: Solve for x
    x = 471,811.04/612.09
  6. Step 6: Final answer
    x = 770.82

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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.