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Finding the Fourth Proportional to 633.07, 873.15 and 412.10

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Solution

The fourth proportional to 633.07, 873.15 and 412.10 is: 568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.07 : 873.15 = 412.10 : x
  2. Step 2: Convert to fraction form
    633.07/873.15 = 412.10/x
  3. Step 3: Cross multiply
    633.07x = 873.15 × 412.10
  4. Step 4: Simplify right side
    633.07x = 359,818.69
  5. Step 5: Solve for x
    x = 359,818.69/633.07
  6. Step 6: Final answer
    x = 568.37

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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.