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Finding the Fourth Proportional to 510.75, 704.75 and 289.65

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Solution

The fourth proportional to 510.75, 704.75 and 289.65 is: 399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 704.75 = 289.65 : x
  2. Step 2: Convert to fraction form
    510.75/704.75 = 289.65/x
  3. Step 3: Cross multiply
    510.75x = 704.75 × 289.65
  4. Step 4: Simplify right side
    510.75x = 204,131.56
  5. Step 5: Solve for x
    x = 204,131.56/510.75
  6. Step 6: Final answer
    x = 399.67

Related Problems

Find fourth proportional to 255.38, 352.38 and 144.83
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Double scale
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Similar ratio
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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.