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Finding the Fourth Proportional to 510.77, 704.83 and 289.73

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Solution

The fourth proportional to 510.77, 704.83 and 289.73 is: 399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 704.83 = 289.73 : x
  2. Step 2: Convert to fraction form
    510.77/704.83 = 289.73/x
  3. Step 3: Cross multiply
    510.77x = 704.83 × 289.73
  4. Step 4: Simplify right side
    510.77x = 204,211.43
  5. Step 5: Solve for x
    x = 204,211.43/510.77
  6. Step 6: Final answer
    x = 399.81

Related Problems

Find fourth proportional to 255.38, 352.41 and 144.87
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Double scale
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1.5x scale

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.