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Finding the Fourth Proportional to 564.45, 779.54 and 432.15

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Solution

The fourth proportional to 564.45, 779.54 and 432.15 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.45 : 779.54 = 432.15 : x
  2. Step 2: Convert to fraction form
    564.45/779.54 = 432.15/x
  3. Step 3: Cross multiply
    564.45x = 779.54 × 432.15
  4. Step 4: Simplify right side
    564.45x = 336,878.21
  5. Step 5: Solve for x
    x = 336,878.21/564.45
  6. Step 6: Final answer
    x = 596.83

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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.