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Finding the Fourth Proportional to 510.77, 704.64 and 311.53

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Solution

The fourth proportional to 510.77, 704.64 and 311.53 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 704.64 = 311.53 : x
  2. Step 2: Convert to fraction form
    510.77/704.64 = 311.53/x
  3. Step 3: Cross multiply
    510.77x = 704.64 × 311.53
  4. Step 4: Simplify right side
    510.77x = 219,516.50
  5. Step 5: Solve for x
    x = 219,516.50/510.77
  6. Step 6: Final answer
    x = 429.78

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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.