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Finding the Fourth Proportional to 590.38, 813.02 and 578.14

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Solution

The fourth proportional to 590.38, 813.02 and 578.14 is: 796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.38 : 813.02 = 578.14 : x
  2. Step 2: Convert to fraction form
    590.38/813.02 = 578.14/x
  3. Step 3: Cross multiply
    590.38x = 813.02 × 578.14
  4. Step 4: Simplify right side
    590.38x = 470,039.38
  5. Step 5: Solve for x
    x = 470,039.38/590.38
  6. Step 6: Final answer
    x = 796.16

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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.