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Finding the Fourth Proportional to 612.54, 914.49 and 514.08

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Solution

The fourth proportional to 612.54, 914.49 and 514.08 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.54 : 914.49 = 514.08 : x
  2. Step 2: Convert to fraction form
    612.54/914.49 = 514.08/x
  3. Step 3: Cross multiply
    612.54x = 914.49 × 514.08
  4. Step 4: Simplify right side
    612.54x = 470,121.02
  5. Step 5: Solve for x
    x = 470,121.02/612.54
  6. Step 6: Final answer
    x = 767.49

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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.