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Finding the Fourth Proportional to 563.60, 773.14 and 556.40

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Solution

The fourth proportional to 563.60, 773.14 and 556.40 is: 763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 773.14 = 556.40 : x
  2. Step 2: Convert to fraction form
    563.60/773.14 = 556.40/x
  3. Step 3: Cross multiply
    563.60x = 773.14 × 556.40
  4. Step 4: Simplify right side
    563.60x = 430,175.10
  5. Step 5: Solve for x
    x = 430,175.10/563.60
  6. Step 6: Final answer
    x = 763.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.