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Finding the Fourth Proportional to 1,643.78, 2,465.53 and 603.74

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Solution

The fourth proportional to 1,643.78, 2,465.53 and 603.74 is: 905.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.78 : 2,465.53 = 603.74 : x
  2. Step 2: Convert to fraction form
    1,643.78/2,465.53 = 603.74/x
  3. Step 3: Cross multiply
    1,643.78x = 2,465.53 × 603.74
  4. Step 4: Simplify right side
    1,643.78x = 1,488,539.08
  5. Step 5: Solve for x
    x = 1,488,539.08/1,643.78
  6. Step 6: Final answer
    x = 905.56

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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.