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Finding the Fourth Proportional to 1,645.77, 2,469.27 and 953.13

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Solution

The fourth proportional to 1,645.77, 2,469.27 and 953.13 is: 1,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.77 : 2,469.27 = 953.13 : x
  2. Step 2: Convert to fraction form
    1,645.77/2,469.27 = 953.13/x
  3. Step 3: Cross multiply
    1,645.77x = 2,469.27 × 953.13
  4. Step 4: Simplify right side
    1,645.77x = 2,353,535.32
  5. Step 5: Solve for x
    x = 2,353,535.32/1,645.77
  6. Step 6: Final answer
    x = 1,430.05

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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.