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Finding the Fourth Proportional to 603.80, 834.00 and 465.59

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Solution

The fourth proportional to 603.80, 834.00 and 465.59 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.80 : 834.00 = 465.59 : x
  2. Step 2: Convert to fraction form
    603.80/834.00 = 465.59/x
  3. Step 3: Cross multiply
    603.80x = 834.00 × 465.59
  4. Step 4: Simplify right side
    603.80x = 388,302.40
  5. Step 5: Solve for x
    x = 388,302.40/603.80
  6. Step 6: Final answer
    x = 643.10

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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.