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Finding the Fourth Proportional to 1,465.56, 2,199.66 and 685.92

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Solution

The fourth proportional to 1,465.56, 2,199.66 and 685.92 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.56 : 2,199.66 = 685.92 : x
  2. Step 2: Convert to fraction form
    1,465.56/2,199.66 = 685.92/x
  3. Step 3: Cross multiply
    1,465.56x = 2,199.66 × 685.92
  4. Step 4: Simplify right side
    1,465.56x = 1,508,790.79
  5. Step 5: Solve for x
    x = 1,508,790.79/1,465.56
  6. Step 6: Final answer
    x = 1,029.50

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1.5x scale

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.