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Finding the Fourth Proportional to 563.64, 781.08 and 556.68

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Solution

The fourth proportional to 563.64, 781.08 and 556.68 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.64 : 781.08 = 556.68 : x
  2. Step 2: Convert to fraction form
    563.64/781.08 = 556.68/x
  3. Step 3: Cross multiply
    563.64x = 781.08 × 556.68
  4. Step 4: Simplify right side
    563.64x = 434,811.61
  5. Step 5: Solve for x
    x = 434,811.61/563.64
  6. Step 6: Final answer
    x = 771.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.