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Finding the Fourth Proportional to 602.45, 903.69 and 278.05

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Solution

The fourth proportional to 602.45, 903.69 and 278.05 is: 417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.45 : 903.69 = 278.05 : x
  2. Step 2: Convert to fraction form
    602.45/903.69 = 278.05/x
  3. Step 3: Cross multiply
    602.45x = 903.69 × 278.05
  4. Step 4: Simplify right side
    602.45x = 251,270.44
  5. Step 5: Solve for x
    x = 251,270.44/602.45
  6. Step 6: Final answer
    x = 417.08

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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.