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Finding the Fourth Proportional to 590.88, 813.72 and 578.64

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Solution

The fourth proportional to 590.88, 813.72 and 578.64 is: 796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 813.72 = 578.64 : x
  2. Step 2: Convert to fraction form
    590.88/813.72 = 578.64/x
  3. Step 3: Cross multiply
    590.88x = 813.72 × 578.64
  4. Step 4: Simplify right side
    590.88x = 470,850.94
  5. Step 5: Solve for x
    x = 470,850.94/590.88
  6. Step 6: Final answer
    x = 796.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.