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Finding the Fourth Proportional to 566.78, 782.12 and 318.05

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Solution

The fourth proportional to 566.78, 782.12 and 318.05 is: 438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.78 : 782.12 = 318.05 : x
  2. Step 2: Convert to fraction form
    566.78/782.12 = 318.05/x
  3. Step 3: Cross multiply
    566.78x = 782.12 × 318.05
  4. Step 4: Simplify right side
    566.78x = 248,756.02
  5. Step 5: Solve for x
    x = 248,756.02/566.78
  6. Step 6: Final answer
    x = 438.90

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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.