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Finding the Fourth Proportional to 510.48, 708.32 and 489.92

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Solution

The fourth proportional to 510.48, 708.32 and 489.92 is: 679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 708.32 = 489.92 : x
  2. Step 2: Convert to fraction form
    510.48/708.32 = 489.92/x
  3. Step 3: Cross multiply
    510.48x = 708.32 × 489.92
  4. Step 4: Simplify right side
    510.48x = 347,017.82
  5. Step 5: Solve for x
    x = 347,017.82/510.48
  6. Step 6: Final answer
    x = 679.79

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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.