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Finding the Fourth Proportional to 564.65, 846.46 and 290.15

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Solution

The fourth proportional to 564.65, 846.46 and 290.15 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.65 : 846.46 = 290.15 : x
  2. Step 2: Convert to fraction form
    564.65/846.46 = 290.15/x
  3. Step 3: Cross multiply
    564.65x = 846.46 × 290.15
  4. Step 4: Simplify right side
    564.65x = 245,600.37
  5. Step 5: Solve for x
    x = 245,600.37/564.65
  6. Step 6: Final answer
    x = 434.96

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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.