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Finding the Fourth Proportional to 531.97, 734.04 and 310.75

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Solution

The fourth proportional to 531.97, 734.04 and 310.75 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 734.04 = 310.75 : x
  2. Step 2: Convert to fraction form
    531.97/734.04 = 310.75/x
  3. Step 3: Cross multiply
    531.97x = 734.04 × 310.75
  4. Step 4: Simplify right side
    531.97x = 228,102.93
  5. Step 5: Solve for x
    x = 228,102.93/531.97
  6. Step 6: Final answer
    x = 428.79

Related Problems

Find fourth proportional to 265.99, 367.02 and 155.38
Half scale
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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.