Home / 1,402.23-2,103.65-428.40

Finding the Fourth Proportional to 1,402.23, 2,103.65 and 428.40

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Solution

The fourth proportional to 1,402.23, 2,103.65 and 428.40 is: 642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.23 : 2,103.65 = 428.40 : x
  2. Step 2: Convert to fraction form
    1,402.23/2,103.65 = 428.40/x
  3. Step 3: Cross multiply
    1,402.23x = 2,103.65 × 428.40
  4. Step 4: Simplify right side
    1,402.23x = 901,211.01
  5. Step 5: Solve for x
    x = 901,211.01/1,402.23
  6. Step 6: Final answer
    x = 642.70

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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.