Home / 1,405.13-2,108.03-431.23

Finding the Fourth Proportional to 1,405.13, 2,108.03 and 431.23

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Solution

The fourth proportional to 1,405.13, 2,108.03 and 431.23 is: 646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.13 : 2,108.03 = 431.23 : x
  2. Step 2: Convert to fraction form
    1,405.13/2,108.03 = 431.23/x
  3. Step 3: Cross multiply
    1,405.13x = 2,108.03 × 431.23
  4. Step 4: Simplify right side
    1,405.13x = 909,045.78
  5. Step 5: Solve for x
    x = 909,045.78/1,405.13
  6. Step 6: Final answer
    x = 646.95

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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.