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Finding the Fourth Proportional to 510, 701.28 and 485.70

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Solution

The fourth proportional to 510, 701.28 and 485.70 is: 667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 701.28 = 485.70 : x
  2. Step 2: Convert to fraction form
    510/701.28 = 485.70/x
  3. Step 3: Cross multiply
    510x = 701.28 × 485.70
  4. Step 4: Simplify right side
    510x = 340,611.70
  5. Step 5: Solve for x
    x = 340,611.70/510
  6. Step 6: Final answer
    x = 667.87

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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.