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Finding the Fourth Proportional to 610, 842.34 and 454.48

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Solution

The fourth proportional to 610, 842.34 and 454.48 is: 627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 842.34 = 454.48 : x
  2. Step 2: Convert to fraction form
    610/842.34 = 454.48/x
  3. Step 3: Cross multiply
    610x = 842.34 × 454.48
  4. Step 4: Simplify right side
    610x = 382,826.68
  5. Step 5: Solve for x
    x = 382,826.68/610
  6. Step 6: Final answer
    x = 627.58

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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.