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Finding the Fourth Proportional to 534.92, 739.14 and 419.36

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Solution

The fourth proportional to 534.92, 739.14 and 419.36 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.92 : 739.14 = 419.36 : x
  2. Step 2: Convert to fraction form
    534.92/739.14 = 419.36/x
  3. Step 3: Cross multiply
    534.92x = 739.14 × 419.36
  4. Step 4: Simplify right side
    534.92x = 309,965.75
  5. Step 5: Solve for x
    x = 309,965.75/534.92
  6. Step 6: Final answer
    x = 579.46

Related Problems

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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.