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Finding the Fourth Proportional to 517.08, 713.08 and 378.12

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Solution

The fourth proportional to 517.08, 713.08 and 378.12 is: 521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.08 : 713.08 = 378.12 : x
  2. Step 2: Convert to fraction form
    517.08/713.08 = 378.12/x
  3. Step 3: Cross multiply
    517.08x = 713.08 × 378.12
  4. Step 4: Simplify right side
    517.08x = 269,629.81
  5. Step 5: Solve for x
    x = 269,629.81/517.08
  6. Step 6: Final answer
    x = 521.45

Related Problems

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Half scale
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Double scale
Find fourth proportional to 518.08, 714.46 and 379.12
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.