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Finding the Fourth Proportional to 603.40, 904.94 and 278.68

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Solution

The fourth proportional to 603.40, 904.94 and 278.68 is: 417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.40 : 904.94 = 278.68 : x
  2. Step 2: Convert to fraction form
    603.40/904.94 = 278.68/x
  3. Step 3: Cross multiply
    603.40x = 904.94 × 278.68
  4. Step 4: Simplify right side
    603.40x = 252,188.68
  5. Step 5: Solve for x
    x = 252,188.68/603.40
  6. Step 6: Final answer
    x = 417.95

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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.