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Finding the Fourth Proportional to 510.90, 705.04 and 311.73

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Solution

The fourth proportional to 510.90, 705.04 and 311.73 is: 430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 705.04 = 311.73 : x
  2. Step 2: Convert to fraction form
    510.90/705.04 = 311.73/x
  3. Step 3: Cross multiply
    510.90x = 705.04 × 311.73
  4. Step 4: Simplify right side
    510.90x = 219,785.54
  5. Step 5: Solve for x
    x = 219,785.54/510.90
  6. Step 6: Final answer
    x = 430.19

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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.