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Finding the Fourth Proportional to 564.08, 783.82 and 558.14

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Solution

The fourth proportional to 564.08, 783.82 and 558.14 is: 775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 783.82 = 558.14 : x
  2. Step 2: Convert to fraction form
    564.08/783.82 = 558.14/x
  3. Step 3: Cross multiply
    564.08x = 783.82 × 558.14
  4. Step 4: Simplify right side
    564.08x = 437,481.29
  5. Step 5: Solve for x
    x = 437,481.29/564.08
  6. Step 6: Final answer
    x = 775.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.