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Finding the Fourth Proportional to 564.14, 842.46 and 558.03

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Solution

The fourth proportional to 564.14, 842.46 and 558.03 is: 833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 842.46 = 558.03 : x
  2. Step 2: Convert to fraction form
    564.14/842.46 = 558.03/x
  3. Step 3: Cross multiply
    564.14x = 842.46 × 558.03
  4. Step 4: Simplify right side
    564.14x = 470,119.40
  5. Step 5: Solve for x
    x = 470,119.40/564.14
  6. Step 6: Final answer
    x = 833.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.