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Finding the Fourth Proportional to 2,430.08, 3,645.08 and 698.70

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Solution

The fourth proportional to 2,430.08, 3,645.08 and 698.70 is: 1,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.08 : 3,645.08 = 698.70 : x
  2. Step 2: Convert to fraction form
    2,430.08/3,645.08 = 698.70/x
  3. Step 3: Cross multiply
    2,430.08x = 3,645.08 × 698.70
  4. Step 4: Simplify right side
    2,430.08x = 2,546,817.40
  5. Step 5: Solve for x
    x = 2,546,817.40/2,430.08
  6. Step 6: Final answer
    x = 1,048.04

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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.