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Finding the Fourth Proportional to 564.62, 845.15 and 435.11

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Solution

The fourth proportional to 564.62, 845.15 and 435.11 is: 651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 845.15 = 435.11 : x
  2. Step 2: Convert to fraction form
    564.62/845.15 = 435.11/x
  3. Step 3: Cross multiply
    564.62x = 845.15 × 435.11
  4. Step 4: Simplify right side
    564.62x = 367,733.15
  5. Step 5: Solve for x
    x = 367,733.15/564.62
  6. Step 6: Final answer
    x = 651.30

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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.