Home / 1,403.20-2,103.72-709.30

Finding the Fourth Proportional to 1,403.20, 2,103.72 and 709.30

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Solution

The fourth proportional to 1,403.20, 2,103.72 and 709.30 is: 1,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.20 : 2,103.72 = 709.30 : x
  2. Step 2: Convert to fraction form
    1,403.20/2,103.72 = 709.30/x
  3. Step 3: Cross multiply
    1,403.20x = 2,103.72 × 709.30
  4. Step 4: Simplify right side
    1,403.20x = 1,492,168.60
  5. Step 5: Solve for x
    x = 1,492,168.60/1,403.20
  6. Step 6: Final answer
    x = 1,063.40

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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.