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Finding the Fourth Proportional to 603.45, 833.52 and 416.61

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Solution

The fourth proportional to 603.45, 833.52 and 416.61 is: 575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.45 : 833.52 = 416.61 : x
  2. Step 2: Convert to fraction form
    603.45/833.52 = 416.61/x
  3. Step 3: Cross multiply
    603.45x = 833.52 × 416.61
  4. Step 4: Simplify right side
    603.45x = 347,252.77
  5. Step 5: Solve for x
    x = 347,252.77/603.45
  6. Step 6: Final answer
    x = 575.45

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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.