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Finding the Fourth Proportional to 564.70, 774.30 and 509.21

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Solution

The fourth proportional to 564.70, 774.30 and 509.21 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.70 : 774.30 = 509.21 : x
  2. Step 2: Convert to fraction form
    564.70/774.30 = 509.21/x
  3. Step 3: Cross multiply
    564.70x = 774.30 × 509.21
  4. Step 4: Simplify right side
    564.70x = 394,281.30
  5. Step 5: Solve for x
    x = 394,281.30/564.70
  6. Step 6: Final answer
    x = 698.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.