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Finding the Fourth Proportional to 610.14, 842.15 and 377.13

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Solution

The fourth proportional to 610.14, 842.15 and 377.13 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 842.15 = 377.13 : x
  2. Step 2: Convert to fraction form
    610.14/842.15 = 377.13/x
  3. Step 3: Cross multiply
    610.14x = 842.15 × 377.13
  4. Step 4: Simplify right side
    610.14x = 317,600.03
  5. Step 5: Solve for x
    x = 317,600.03/610.14
  6. Step 6: Final answer
    x = 520.54

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Double scale
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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.