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Finding the Fourth Proportional to 603.77, 904.03 and 496.04

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Solution

The fourth proportional to 603.77, 904.03 and 496.04 is: 742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.77 : 904.03 = 496.04 : x
  2. Step 2: Convert to fraction form
    603.77/904.03 = 496.04/x
  3. Step 3: Cross multiply
    603.77x = 904.03 × 496.04
  4. Step 4: Simplify right side
    603.77x = 448,429.28
  5. Step 5: Solve for x
    x = 448,429.28/603.77
  6. Step 6: Final answer
    x = 742.72

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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.