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Finding the Fourth Proportional to 557.76, 832.20 and 495.84

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Solution

The fourth proportional to 557.76, 832.20 and 495.84 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.76 : 832.20 = 495.84 : x
  2. Step 2: Convert to fraction form
    557.76/832.20 = 495.84/x
  3. Step 3: Cross multiply
    557.76x = 832.20 × 495.84
  4. Step 4: Simplify right side
    557.76x = 412,638.05
  5. Step 5: Solve for x
    x = 412,638.05/557.76
  6. Step 6: Final answer
    x = 739.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.