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Finding the Fourth Proportional to 564.50, 847.06 and 290.86

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Solution

The fourth proportional to 564.50, 847.06 and 290.86 is: 436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.50 : 847.06 = 290.86 : x
  2. Step 2: Convert to fraction form
    564.50/847.06 = 290.86/x
  3. Step 3: Cross multiply
    564.50x = 847.06 × 290.86
  4. Step 4: Simplify right side
    564.50x = 246,373.03
  5. Step 5: Solve for x
    x = 246,373.03/564.50
  6. Step 6: Final answer
    x = 436.44

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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.