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Finding the Fourth Proportional to 510.22, 766.41 and 317.98

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Solution

The fourth proportional to 510.22, 766.41 and 317.98 is: 477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.22 : 766.41 = 317.98 : x
  2. Step 2: Convert to fraction form
    510.22/766.41 = 317.98/x
  3. Step 3: Cross multiply
    510.22x = 766.41 × 317.98
  4. Step 4: Simplify right side
    510.22x = 243,703.05
  5. Step 5: Solve for x
    x = 243,703.05/510.22
  6. Step 6: Final answer
    x = 477.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.