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Finding the Fourth Proportional to 633.06, 873.32 and 412.08

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Solution

The fourth proportional to 633.06, 873.32 and 412.08 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.06 : 873.32 = 412.08 : x
  2. Step 2: Convert to fraction form
    633.06/873.32 = 412.08/x
  3. Step 3: Cross multiply
    633.06x = 873.32 × 412.08
  4. Step 4: Simplify right side
    633.06x = 359,877.71
  5. Step 5: Solve for x
    x = 359,877.71/633.06
  6. Step 6: Final answer
    x = 568.47

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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.