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Finding the Fourth Proportional to 506.96, 702.86 and 489.14

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Solution

The fourth proportional to 506.96, 702.86 and 489.14 is: 678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 702.86 = 489.14 : x
  2. Step 2: Convert to fraction form
    506.96/702.86 = 489.14/x
  3. Step 3: Cross multiply
    506.96x = 702.86 × 489.14
  4. Step 4: Simplify right side
    506.96x = 343,796.94
  5. Step 5: Solve for x
    x = 343,796.94/506.96
  6. Step 6: Final answer
    x = 678.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.