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Finding the Fourth Proportional to 514.01, 709.92 and 374.75

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Solution

The fourth proportional to 514.01, 709.92 and 374.75 is: 517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.01 : 709.92 = 374.75 : x
  2. Step 2: Convert to fraction form
    514.01/709.92 = 374.75/x
  3. Step 3: Cross multiply
    514.01x = 709.92 × 374.75
  4. Step 4: Simplify right side
    514.01x = 266,042.52
  5. Step 5: Solve for x
    x = 266,042.52/514.01
  6. Step 6: Final answer
    x = 517.58

Related Problems

Find fourth proportional to 257.01, 354.96 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.