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Finding the Fourth Proportional to 1,645.75, 2,465.34 and 821.53

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Solution

The fourth proportional to 1,645.75, 2,465.34 and 821.53 is: 1,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.75 : 2,465.34 = 821.53 : x
  2. Step 2: Convert to fraction form
    1,645.75/2,465.34 = 821.53/x
  3. Step 3: Cross multiply
    1,645.75x = 2,465.34 × 821.53
  4. Step 4: Simplify right side
    1,645.75x = 2,025,350.77
  5. Step 5: Solve for x
    x = 2,025,350.77/1,645.75
  6. Step 6: Final answer
    x = 1,230.66

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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.