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Finding the Fourth Proportional to 612.93, 920.16 and 511.46

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Solution

The fourth proportional to 612.93, 920.16 and 511.46 is: 767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.93 : 920.16 = 511.46 : x
  2. Step 2: Convert to fraction form
    612.93/920.16 = 511.46/x
  3. Step 3: Cross multiply
    612.93x = 920.16 × 511.46
  4. Step 4: Simplify right side
    612.93x = 470,625.03
  5. Step 5: Solve for x
    x = 470,625.03/612.93
  6. Step 6: Final answer
    x = 767.83

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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.