Home / 1,008.12-1,511.37-431.40

Finding the Fourth Proportional to 1,008.12, 1,511.37 and 431.40

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Solution

The fourth proportional to 1,008.12, 1,511.37 and 431.40 is: 646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.12 : 1,511.37 = 431.40 : x
  2. Step 2: Convert to fraction form
    1,008.12/1,511.37 = 431.40/x
  3. Step 3: Cross multiply
    1,008.12x = 1,511.37 × 431.40
  4. Step 4: Simplify right side
    1,008.12x = 652,010.69
  5. Step 5: Solve for x
    x = 652,010.69/1,008.12
  6. Step 6: Final answer
    x = 646.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.