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Finding the Fourth Proportional to 566.53, 780.64 and 455.56

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Solution

The fourth proportional to 566.53, 780.64 and 455.56 is: 627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.53 : 780.64 = 455.56 : x
  2. Step 2: Convert to fraction form
    566.53/780.64 = 455.56/x
  3. Step 3: Cross multiply
    566.53x = 780.64 × 455.56
  4. Step 4: Simplify right side
    566.53x = 355,625.27
  5. Step 5: Solve for x
    x = 355,625.27/566.53
  6. Step 6: Final answer
    x = 627.73

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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.