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Finding the Fourth Proportional to 564.78, 847.14 and 428.07

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Solution

The fourth proportional to 564.78, 847.14 and 428.07 is: 642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 847.14 = 428.07 : x
  2. Step 2: Convert to fraction form
    564.78/847.14 = 428.07/x
  3. Step 3: Cross multiply
    564.78x = 847.14 × 428.07
  4. Step 4: Simplify right side
    564.78x = 362,635.22
  5. Step 5: Solve for x
    x = 362,635.22/564.78
  6. Step 6: Final answer
    x = 642.08

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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.