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Finding the Fourth Proportional to 610.77, 842.82 and 345.21

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Solution

The fourth proportional to 610.77, 842.82 and 345.21 is: 476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.77 : 842.82 = 345.21 : x
  2. Step 2: Convert to fraction form
    610.77/842.82 = 345.21/x
  3. Step 3: Cross multiply
    610.77x = 842.82 × 345.21
  4. Step 4: Simplify right side
    610.77x = 290,949.89
  5. Step 5: Solve for x
    x = 290,949.89/610.77
  6. Step 6: Final answer
    x = 476.37

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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.