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Finding the Fourth Proportional to 919.11, 1,267.65 and 603.84

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Solution

The fourth proportional to 919.11, 1,267.65 and 603.84 is: 832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.11 : 1,267.65 = 603.84 : x
  2. Step 2: Convert to fraction form
    919.11/1,267.65 = 603.84/x
  3. Step 3: Cross multiply
    919.11x = 1,267.65 × 603.84
  4. Step 4: Simplify right side
    919.11x = 765,457.78
  5. Step 5: Solve for x
    x = 765,457.78/919.11
  6. Step 6: Final answer
    x = 832.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.