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Finding the Fourth Proportional to 603.73, 833.51 and 470.69

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Solution

The fourth proportional to 603.73, 833.51 and 470.69 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.73 : 833.51 = 470.69 : x
  2. Step 2: Convert to fraction form
    603.73/833.51 = 470.69/x
  3. Step 3: Cross multiply
    603.73x = 833.51 × 470.69
  4. Step 4: Simplify right side
    603.73x = 392,321.83
  5. Step 5: Solve for x
    x = 392,321.83/603.73
  6. Step 6: Final answer
    x = 649.83

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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.