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Finding the Fourth Proportional to 610.16, 842.28 and 377.60

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Solution

The fourth proportional to 610.16, 842.28 and 377.60 is: 521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 842.28 = 377.60 : x
  2. Step 2: Convert to fraction form
    610.16/842.28 = 377.60/x
  3. Step 3: Cross multiply
    610.16x = 842.28 × 377.60
  4. Step 4: Simplify right side
    610.16x = 318,044.93
  5. Step 5: Solve for x
    x = 318,044.93/610.16
  6. Step 6: Final answer
    x = 521.25

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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.