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Finding the Fourth Proportional to 633.29, 873.18 and 412.16

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Solution

The fourth proportional to 633.29, 873.18 and 412.16 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.29 : 873.18 = 412.16 : x
  2. Step 2: Convert to fraction form
    633.29/873.18 = 412.16/x
  3. Step 3: Cross multiply
    633.29x = 873.18 × 412.16
  4. Step 4: Simplify right side
    633.29x = 359,885.50
  5. Step 5: Solve for x
    x = 359,885.50/633.29
  6. Step 6: Final answer
    x = 568.28

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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.