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Finding the Fourth Proportional to 564.09, 846.65 and 359.02

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Solution

The fourth proportional to 564.09, 846.65 and 359.02 is: 538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 846.65 = 359.02 : x
  2. Step 2: Convert to fraction form
    564.09/846.65 = 359.02/x
  3. Step 3: Cross multiply
    564.09x = 846.65 × 359.02
  4. Step 4: Simplify right side
    564.09x = 303,964.28
  5. Step 5: Solve for x
    x = 303,964.28/564.09
  6. Step 6: Final answer
    x = 538.86

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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.