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Finding the Fourth Proportional to 612.84, 917.43 and 514.83

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Solution

The fourth proportional to 612.84, 917.43 and 514.83 is: 770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 917.43 = 514.83 : x
  2. Step 2: Convert to fraction form
    612.84/917.43 = 514.83/x
  3. Step 3: Cross multiply
    612.84x = 917.43 × 514.83
  4. Step 4: Simplify right side
    612.84x = 472,320.49
  5. Step 5: Solve for x
    x = 472,320.49/612.84
  6. Step 6: Final answer
    x = 770.71

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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.