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Finding the Fourth Proportional to 546.83, 754.58 and 310.76

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Solution

The fourth proportional to 546.83, 754.58 and 310.76 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 754.58 = 310.76 : x
  2. Step 2: Convert to fraction form
    546.83/754.58 = 310.76/x
  3. Step 3: Cross multiply
    546.83x = 754.58 × 310.76
  4. Step 4: Simplify right side
    546.83x = 234,487.95
  5. Step 5: Solve for x
    x = 234,487.95/546.83
  6. Step 6: Final answer
    x = 428.82

Related Problems

Find fourth proportional to 273.41, 377.29 and 155.38
Half scale
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Double scale
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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.