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Finding the Fourth Proportional to 564.97, 847.58 and 334.07

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Solution

The fourth proportional to 564.97, 847.58 and 334.07 is: 501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.97 : 847.58 = 334.07 : x
  2. Step 2: Convert to fraction form
    564.97/847.58 = 334.07/x
  3. Step 3: Cross multiply
    564.97x = 847.58 × 334.07
  4. Step 4: Simplify right side
    564.97x = 283,145.14
  5. Step 5: Solve for x
    x = 283,145.14/564.97
  6. Step 6: Final answer
    x = 501.17

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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.