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Finding the Fourth Proportional to 603.13, 904.42 and 278.25

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Solution

The fourth proportional to 603.13, 904.42 and 278.25 is: 417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.13 : 904.42 = 278.25 : x
  2. Step 2: Convert to fraction form
    603.13/904.42 = 278.25/x
  3. Step 3: Cross multiply
    603.13x = 904.42 × 278.25
  4. Step 4: Simplify right side
    603.13x = 251,654.17
  5. Step 5: Solve for x
    x = 251,654.17/603.13
  6. Step 6: Final answer
    x = 417.25

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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.