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Finding the Fourth Proportional to 575.57, 864.68 and 455.29

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Solution

The fourth proportional to 575.57, 864.68 and 455.29 is: 683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.57 : 864.68 = 455.29 : x
  2. Step 2: Convert to fraction form
    575.57/864.68 = 455.29/x
  3. Step 3: Cross multiply
    575.57x = 864.68 × 455.29
  4. Step 4: Simplify right side
    575.57x = 393,675.72
  5. Step 5: Solve for x
    x = 393,675.72/575.57
  6. Step 6: Final answer
    x = 683.97

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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.