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Finding the Fourth Proportional to 566.78, 782.14 and 318.16

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Solution

The fourth proportional to 566.78, 782.14 and 318.16 is: 439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.78 : 782.14 = 318.16 : x
  2. Step 2: Convert to fraction form
    566.78/782.14 = 318.16/x
  3. Step 3: Cross multiply
    566.78x = 782.14 × 318.16
  4. Step 4: Simplify right side
    566.78x = 248,840.16
  5. Step 5: Solve for x
    x = 248,840.16/566.78
  6. Step 6: Final answer
    x = 439.05

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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.