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Finding the Fourth Proportional to 511.42, 707.22 and 489.68

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Solution

The fourth proportional to 511.42, 707.22 and 489.68 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.42 : 707.22 = 489.68 : x
  2. Step 2: Convert to fraction form
    511.42/707.22 = 489.68/x
  3. Step 3: Cross multiply
    511.42x = 707.22 × 489.68
  4. Step 4: Simplify right side
    511.42x = 346,311.49
  5. Step 5: Solve for x
    x = 346,311.49/511.42
  6. Step 6: Final answer
    x = 677.16

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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.