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Finding the Fourth Proportional to 517.96, 714.75 and 285.10

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Solution

The fourth proportional to 517.96, 714.75 and 285.10 is: 393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 714.75 = 285.10 : x
  2. Step 2: Convert to fraction form
    517.96/714.75 = 285.10/x
  3. Step 3: Cross multiply
    517.96x = 714.75 × 285.10
  4. Step 4: Simplify right side
    517.96x = 203,775.23
  5. Step 5: Solve for x
    x = 203,775.23/517.96
  6. Step 6: Final answer
    x = 393.42

Related Problems

Find fourth proportional to 258.98, 357.38 and 142.55
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Double scale
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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.