Home / 1,434.02-2,151.35-408.02

Finding the Fourth Proportional to 1,434.02, 2,151.35 and 408.02

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Solution

The fourth proportional to 1,434.02, 2,151.35 and 408.02 is: 612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.02 : 2,151.35 = 408.02 : x
  2. Step 2: Convert to fraction form
    1,434.02/2,151.35 = 408.02/x
  3. Step 3: Cross multiply
    1,434.02x = 2,151.35 × 408.02
  4. Step 4: Simplify right side
    1,434.02x = 877,793.83
  5. Step 5: Solve for x
    x = 877,793.83/1,434.02
  6. Step 6: Final answer
    x = 612.12

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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.