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Finding the Fourth Proportional to 474.03, 653.95 and 277.45

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Solution

The fourth proportional to 474.03, 653.95 and 277.45 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.03 : 653.95 = 277.45 : x
  2. Step 2: Convert to fraction form
    474.03/653.95 = 277.45/x
  3. Step 3: Cross multiply
    474.03x = 653.95 × 277.45
  4. Step 4: Simplify right side
    474.03x = 181,438.43
  5. Step 5: Solve for x
    x = 181,438.43/474.03
  6. Step 6: Final answer
    x = 382.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.