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Finding the Fourth Proportional to 603.18, 835.76 and 590.22

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Solution

The fourth proportional to 603.18, 835.76 and 590.22 is: 817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.18 : 835.76 = 590.22 : x
  2. Step 2: Convert to fraction form
    603.18/835.76 = 590.22/x
  3. Step 3: Cross multiply
    603.18x = 835.76 × 590.22
  4. Step 4: Simplify right side
    603.18x = 493,283.74
  5. Step 5: Solve for x
    x = 493,283.74/603.18
  6. Step 6: Final answer
    x = 817.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.