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Finding the Fourth Proportional to 546.77, 754.35 and 310.69

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Solution

The fourth proportional to 546.77, 754.35 and 310.69 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.77 : 754.35 = 310.69 : x
  2. Step 2: Convert to fraction form
    546.77/754.35 = 310.69/x
  3. Step 3: Cross multiply
    546.77x = 754.35 × 310.69
  4. Step 4: Simplify right side
    546.77x = 234,369.00
  5. Step 5: Solve for x
    x = 234,369.00/546.77
  6. Step 6: Final answer
    x = 428.65

Related Problems

Find fourth proportional to 273.38, 377.18 and 155.35
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.