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Finding the Fourth Proportional to 510.76, 704.91 and 289.77

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Solution

The fourth proportional to 510.76, 704.91 and 289.77 is: 399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.76 : 704.91 = 289.77 : x
  2. Step 2: Convert to fraction form
    510.76/704.91 = 289.77/x
  3. Step 3: Cross multiply
    510.76x = 704.91 × 289.77
  4. Step 4: Simplify right side
    510.76x = 204,261.77
  5. Step 5: Solve for x
    x = 204,261.77/510.76
  6. Step 6: Final answer
    x = 399.92

Related Problems

Find fourth proportional to 255.38, 352.46 and 144.89
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Double scale
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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.