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Finding the Fourth Proportional to 563.03, 775.20 and 496.59

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Solution

The fourth proportional to 563.03, 775.20 and 496.59 is: 683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.03 : 775.20 = 496.59 : x
  2. Step 2: Convert to fraction form
    563.03/775.20 = 496.59/x
  3. Step 3: Cross multiply
    563.03x = 775.20 × 496.59
  4. Step 4: Simplify right side
    563.03x = 384,953.51
  5. Step 5: Solve for x
    x = 384,953.51/563.03
  6. Step 6: Final answer
    x = 683.71

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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.