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Finding the Fourth Proportional to 566.20, 780.87 and 455.64

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Solution

The fourth proportional to 566.20, 780.87 and 455.64 is: 628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 780.87 = 455.64 : x
  2. Step 2: Convert to fraction form
    566.20/780.87 = 455.64/x
  3. Step 3: Cross multiply
    566.20x = 780.87 × 455.64
  4. Step 4: Simplify right side
    566.20x = 355,795.61
  5. Step 5: Solve for x
    x = 355,795.61/566.20
  6. Step 6: Final answer
    x = 628.39

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1.5x scale

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.