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Finding the Fourth Proportional to 553.41, 830.63 and 293.72

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Solution

The fourth proportional to 553.41, 830.63 and 293.72 is: 440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.41 : 830.63 = 293.72 : x
  2. Step 2: Convert to fraction form
    553.41/830.63 = 293.72/x
  3. Step 3: Cross multiply
    553.41x = 830.63 × 293.72
  4. Step 4: Simplify right side
    553.41x = 243,969.22
  5. Step 5: Solve for x
    x = 243,969.22/553.41
  6. Step 6: Final answer
    x = 440.85

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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.