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Finding the Fourth Proportional to 633.08, 873.24 and 400.07

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Solution

The fourth proportional to 633.08, 873.24 and 400.07 is: 551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.08 : 873.24 = 400.07 : x
  2. Step 2: Convert to fraction form
    633.08/873.24 = 400.07/x
  3. Step 3: Cross multiply
    633.08x = 873.24 × 400.07
  4. Step 4: Simplify right side
    633.08x = 349,357.13
  5. Step 5: Solve for x
    x = 349,357.13/633.08
  6. Step 6: Final answer
    x = 551.84

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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.