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Finding the Fourth Proportional to 619.66, 931.38 and 513.82

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Solution

The fourth proportional to 619.66, 931.38 and 513.82 is: 772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.66 : 931.38 = 513.82 : x
  2. Step 2: Convert to fraction form
    619.66/931.38 = 513.82/x
  3. Step 3: Cross multiply
    619.66x = 931.38 × 513.82
  4. Step 4: Simplify right side
    619.66x = 478,561.67
  5. Step 5: Solve for x
    x = 478,561.67/619.66
  6. Step 6: Final answer
    x = 772.30

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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.