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Finding the Fourth Proportional to 603.83, 833.97 and 407

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Solution

The fourth proportional to 603.83, 833.97 and 407 is: 562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.83 : 833.97 = 407 : x
  2. Step 2: Convert to fraction form
    603.83/833.97 = 407/x
  3. Step 3: Cross multiply
    603.83x = 833.97 × 407
  4. Step 4: Simplify right side
    603.83x = 339,423.76
  5. Step 5: Solve for x
    x = 339,423.76/603.83
  6. Step 6: Final answer
    x = 562.12

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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.