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Finding the Fourth Proportional to 603.08, 904.80 and 278.44

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Solution

The fourth proportional to 603.08, 904.80 and 278.44 is: 417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.08 : 904.80 = 278.44 : x
  2. Step 2: Convert to fraction form
    603.08/904.80 = 278.44/x
  3. Step 3: Cross multiply
    603.08x = 904.80 × 278.44
  4. Step 4: Simplify right side
    603.08x = 251,932.51
  5. Step 5: Solve for x
    x = 251,932.51/603.08
  6. Step 6: Final answer
    x = 417.74

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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.