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Finding the Fourth Proportional to 609.77, 914.72 and 457.62

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Solution

The fourth proportional to 609.77, 914.72 and 457.62 is: 686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.77 : 914.72 = 457.62 : x
  2. Step 2: Convert to fraction form
    609.77/914.72 = 457.62/x
  3. Step 3: Cross multiply
    609.77x = 914.72 × 457.62
  4. Step 4: Simplify right side
    609.77x = 418,591.88
  5. Step 5: Solve for x
    x = 418,591.88/609.77
  6. Step 6: Final answer
    x = 686.48

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.