Home / 630.12-869.40-409.08

Finding the Fourth Proportional to 630.12, 869.40 and 409.08

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Solution

The fourth proportional to 630.12, 869.40 and 409.08 is: 564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.12 : 869.40 = 409.08 : x
  2. Step 2: Convert to fraction form
    630.12/869.40 = 409.08/x
  3. Step 3: Cross multiply
    630.12x = 869.40 × 409.08
  4. Step 4: Simplify right side
    630.12x = 355,654.15
  5. Step 5: Solve for x
    x = 355,654.15/630.12
  6. Step 6: Final answer
    x = 564.42

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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.