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Finding the Fourth Proportional to 603.51, 833.13 and 407.34

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Solution

The fourth proportional to 603.51, 833.13 and 407.34 is: 562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.51 : 833.13 = 407.34 : x
  2. Step 2: Convert to fraction form
    603.51/833.13 = 407.34/x
  3. Step 3: Cross multiply
    603.51x = 833.13 × 407.34
  4. Step 4: Simplify right side
    603.51x = 339,367.17
  5. Step 5: Solve for x
    x = 339,367.17/603.51
  6. Step 6: Final answer
    x = 562.32

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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.