Home / 1,402.52-2,104.10-428.64

Finding the Fourth Proportional to 1,402.52, 2,104.10 and 428.64

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Solution

The fourth proportional to 1,402.52, 2,104.10 and 428.64 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.52 : 2,104.10 = 428.64 : x
  2. Step 2: Convert to fraction form
    1,402.52/2,104.10 = 428.64/x
  3. Step 3: Cross multiply
    1,402.52x = 2,104.10 × 428.64
  4. Step 4: Simplify right side
    1,402.52x = 901,901.42
  5. Step 5: Solve for x
    x = 901,901.42/1,402.52
  6. Step 6: Final answer
    x = 643.06

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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.