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Finding the Fourth Proportional to 564.06, 775.63 and 504.68

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Solution

The fourth proportional to 564.06, 775.63 and 504.68 is: 693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 775.63 = 504.68 : x
  2. Step 2: Convert to fraction form
    564.06/775.63 = 504.68/x
  3. Step 3: Cross multiply
    564.06x = 775.63 × 504.68
  4. Step 4: Simplify right side
    564.06x = 391,443.23
  5. Step 5: Solve for x
    x = 391,443.23/564.06
  6. Step 6: Final answer
    x = 693.97

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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.