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Finding the Fourth Proportional to 590.45, 890.10 and 550.81

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Solution

The fourth proportional to 590.45, 890.10 and 550.81 is: 830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.45 : 890.10 = 550.81 : x
  2. Step 2: Convert to fraction form
    590.45/890.10 = 550.81/x
  3. Step 3: Cross multiply
    590.45x = 890.10 × 550.81
  4. Step 4: Simplify right side
    590.45x = 490,270.15
  5. Step 5: Solve for x
    x = 490,270.15/590.45
  6. Step 6: Final answer
    x = 830.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.