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Finding the Fourth Proportional to 612.91, 846.26 and 377.18

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Solution

The fourth proportional to 612.91, 846.26 and 377.18 is: 520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.91 : 846.26 = 377.18 : x
  2. Step 2: Convert to fraction form
    612.91/846.26 = 377.18/x
  3. Step 3: Cross multiply
    612.91x = 846.26 × 377.18
  4. Step 4: Simplify right side
    612.91x = 319,186.23
  5. Step 5: Solve for x
    x = 319,186.23/612.91
  6. Step 6: Final answer
    x = 520.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.