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Finding the Fourth Proportional to 514.89, 709.97 and 374.76

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Solution

The fourth proportional to 514.89, 709.97 and 374.76 is: 516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.89 : 709.97 = 374.76 : x
  2. Step 2: Convert to fraction form
    514.89/709.97 = 374.76/x
  3. Step 3: Cross multiply
    514.89x = 709.97 × 374.76
  4. Step 4: Simplify right side
    514.89x = 266,066.48
  5. Step 5: Solve for x
    x = 266,066.48/514.89
  6. Step 6: Final answer
    x = 516.74

Related Problems

Find fourth proportional to 257.45, 354.98 and 187.38
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.