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Finding the Fourth Proportional to 564.08, 845.99 and 290.01

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Solution

The fourth proportional to 564.08, 845.99 and 290.01 is: 434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 845.99 = 290.01 : x
  2. Step 2: Convert to fraction form
    564.08/845.99 = 290.01/x
  3. Step 3: Cross multiply
    564.08x = 845.99 × 290.01
  4. Step 4: Simplify right side
    564.08x = 245,344.11
  5. Step 5: Solve for x
    x = 245,344.11/564.08
  6. Step 6: Final answer
    x = 434.95

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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.