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Finding the Fourth Proportional to 602.43, 903.54 and 277.77

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Solution

The fourth proportional to 602.43, 903.54 and 277.77 is: 416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.43 : 903.54 = 277.77 : x
  2. Step 2: Convert to fraction form
    602.43/903.54 = 277.77/x
  3. Step 3: Cross multiply
    602.43x = 903.54 × 277.77
  4. Step 4: Simplify right side
    602.43x = 250,976.31
  5. Step 5: Solve for x
    x = 250,976.31/602.43
  6. Step 6: Final answer
    x = 416.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.