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Finding the Fourth Proportional to 610.72, 842.08 and 455.20

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Solution

The fourth proportional to 610.72, 842.08 and 455.20 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.72 : 842.08 = 455.20 : x
  2. Step 2: Convert to fraction form
    610.72/842.08 = 455.20/x
  3. Step 3: Cross multiply
    610.72x = 842.08 × 455.20
  4. Step 4: Simplify right side
    610.72x = 383,314.82
  5. Step 5: Solve for x
    x = 383,314.82/610.72
  6. Step 6: Final answer
    x = 627.64

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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.