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Finding the Fourth Proportional to 514.67, 772.77 and 310.14

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Solution

The fourth proportional to 514.67, 772.77 and 310.14 is: 465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.67 : 772.77 = 310.14 : x
  2. Step 2: Convert to fraction form
    514.67/772.77 = 310.14/x
  3. Step 3: Cross multiply
    514.67x = 772.77 × 310.14
  4. Step 4: Simplify right side
    514.67x = 239,666.89
  5. Step 5: Solve for x
    x = 239,666.89/514.67
  6. Step 6: Final answer
    x = 465.68

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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.