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Finding the Fourth Proportional to 510.77, 704.62 and 370.66

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Solution

The fourth proportional to 510.77, 704.62 and 370.66 is: 511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.77 : 704.62 = 370.66 : x
  2. Step 2: Convert to fraction form
    510.77/704.62 = 370.66/x
  3. Step 3: Cross multiply
    510.77x = 704.62 × 370.66
  4. Step 4: Simplify right side
    510.77x = 261,174.45
  5. Step 5: Solve for x
    x = 261,174.45/510.77
  6. Step 6: Final answer
    x = 511.33

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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.