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Finding the Fourth Proportional to 517.83, 714.67 and 308.19

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Solution

The fourth proportional to 517.83, 714.67 and 308.19 is: 425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.83 : 714.67 = 308.19 : x
  2. Step 2: Convert to fraction form
    517.83/714.67 = 308.19/x
  3. Step 3: Cross multiply
    517.83x = 714.67 × 308.19
  4. Step 4: Simplify right side
    517.83x = 220,254.15
  5. Step 5: Solve for x
    x = 220,254.15/517.83
  6. Step 6: Final answer
    x = 425.34

Related Problems

Find fourth proportional to 258.92, 357.34 and 154.10
Half scale
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Double scale
Find fourth proportional to 518.83, 716.05 and 309.19
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.