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Finding the Fourth Proportional to 1,643.53, 2,465.32 and 917.73

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Solution

The fourth proportional to 1,643.53, 2,465.32 and 917.73 is: 1,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.53 : 2,465.32 = 917.73 : x
  2. Step 2: Convert to fraction form
    1,643.53/2,465.32 = 917.73/x
  3. Step 3: Cross multiply
    1,643.53x = 2,465.32 × 917.73
  4. Step 4: Simplify right side
    1,643.53x = 2,262,498.12
  5. Step 5: Solve for x
    x = 2,262,498.12/1,643.53
  6. Step 6: Final answer
    x = 1,376.61

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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.