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Finding the Fourth Proportional to 557.28, 771.12 and 483.84

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Solution

The fourth proportional to 557.28, 771.12 and 483.84 is: 669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.28 : 771.12 = 483.84 : x
  2. Step 2: Convert to fraction form
    557.28/771.12 = 483.84/x
  3. Step 3: Cross multiply
    557.28x = 771.12 × 483.84
  4. Step 4: Simplify right side
    557.28x = 373,098.70
  5. Step 5: Solve for x
    x = 373,098.70/557.28
  6. Step 6: Final answer
    x = 669.50

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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.