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Finding the Fourth Proportional to 602.28, 902.63 and 276.93

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Solution

The fourth proportional to 602.28, 902.63 and 276.93 is: 415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 902.63 = 276.93 : x
  2. Step 2: Convert to fraction form
    602.28/902.63 = 276.93/x
  3. Step 3: Cross multiply
    602.28x = 902.63 × 276.93
  4. Step 4: Simplify right side
    602.28x = 249,963.94
  5. Step 5: Solve for x
    x = 249,963.94/602.28
  6. Step 6: Final answer
    x = 415.03

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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.