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Finding the Fourth Proportional to 612.54, 914.96 and 515.34

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Solution

The fourth proportional to 612.54, 914.96 and 515.34 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.54 : 914.96 = 515.34 : x
  2. Step 2: Convert to fraction form
    612.54/914.96 = 515.34/x
  3. Step 3: Cross multiply
    612.54x = 914.96 × 515.34
  4. Step 4: Simplify right side
    612.54x = 471,512.91
  5. Step 5: Solve for x
    x = 471,512.91/612.54
  6. Step 6: Final answer
    x = 769.77

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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.