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Finding the Fourth Proportional to 564.14, 845.48 and 390.53

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Solution

The fourth proportional to 564.14, 845.48 and 390.53 is: 585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 845.48 = 390.53 : x
  2. Step 2: Convert to fraction form
    564.14/845.48 = 390.53/x
  3. Step 3: Cross multiply
    564.14x = 845.48 × 390.53
  4. Step 4: Simplify right side
    564.14x = 330,188.39
  5. Step 5: Solve for x
    x = 330,188.39/564.14
  6. Step 6: Final answer
    x = 585.29

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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.