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Finding the Fourth Proportional to 630.19, 869.37 and 409.06

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Solution

The fourth proportional to 630.19, 869.37 and 409.06 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.19 : 869.37 = 409.06 : x
  2. Step 2: Convert to fraction form
    630.19/869.37 = 409.06/x
  3. Step 3: Cross multiply
    630.19x = 869.37 × 409.06
  4. Step 4: Simplify right side
    630.19x = 355,624.04
  5. Step 5: Solve for x
    x = 355,624.04/630.19
  6. Step 6: Final answer
    x = 564.31

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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.