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Finding the Fourth Proportional to 610.84, 843.12 and 378.16

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Solution

The fourth proportional to 610.84, 843.12 and 378.16 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 843.12 = 378.16 : x
  2. Step 2: Convert to fraction form
    610.84/843.12 = 378.16/x
  3. Step 3: Cross multiply
    610.84x = 843.12 × 378.16
  4. Step 4: Simplify right side
    610.84x = 318,834.26
  5. Step 5: Solve for x
    x = 318,834.26/610.84
  6. Step 6: Final answer
    x = 521.96

Related Problems

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Half scale
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Double scale
Find fourth proportional to 611.84, 844.50 and 379.16
Similar ratio
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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.