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Finding the Fourth Proportional to 566.73, 782.13 and 318.07

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Solution

The fourth proportional to 566.73, 782.13 and 318.07 is: 438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.73 : 782.13 = 318.07 : x
  2. Step 2: Convert to fraction form
    566.73/782.13 = 318.07/x
  3. Step 3: Cross multiply
    566.73x = 782.13 × 318.07
  4. Step 4: Simplify right side
    566.73x = 248,768.54
  5. Step 5: Solve for x
    x = 248,768.54/566.73
  6. Step 6: Final answer
    x = 438.95

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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.