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Finding the Fourth Proportional to 602.54, 904.22 and 277.91

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Solution

The fourth proportional to 602.54, 904.22 and 277.91 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.54 : 904.22 = 277.91 : x
  2. Step 2: Convert to fraction form
    602.54/904.22 = 277.91/x
  3. Step 3: Cross multiply
    602.54x = 904.22 × 277.91
  4. Step 4: Simplify right side
    602.54x = 251,290.30
  5. Step 5: Solve for x
    x = 251,290.30/602.54
  6. Step 6: Final answer
    x = 417.05

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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.