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Finding the Fourth Proportional to 612.04, 914.21 and 514.84

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Solution

The fourth proportional to 612.04, 914.21 and 514.84 is: 769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.04 : 914.21 = 514.84 : x
  2. Step 2: Convert to fraction form
    612.04/914.21 = 514.84/x
  3. Step 3: Cross multiply
    612.04x = 914.21 × 514.84
  4. Step 4: Simplify right side
    612.04x = 470,671.88
  5. Step 5: Solve for x
    x = 470,671.88/612.04
  6. Step 6: Final answer
    x = 769.02

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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.