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Finding the Fourth Proportional to 634.56, 954.10 and 553.91

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Solution

The fourth proportional to 634.56, 954.10 and 553.91 is: 832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 954.10 = 553.91 : x
  2. Step 2: Convert to fraction form
    634.56/954.10 = 553.91/x
  3. Step 3: Cross multiply
    634.56x = 954.10 × 553.91
  4. Step 4: Simplify right side
    634.56x = 528,485.53
  5. Step 5: Solve for x
    x = 528,485.53/634.56
  6. Step 6: Final answer
    x = 832.84

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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.