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Finding the Fourth Proportional to 920.18, 1,380.87 and 457.86

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Solution

The fourth proportional to 920.18, 1,380.87 and 457.86 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.18 : 1,380.87 = 457.86 : x
  2. Step 2: Convert to fraction form
    920.18/1,380.87 = 457.86/x
  3. Step 3: Cross multiply
    920.18x = 1,380.87 × 457.86
  4. Step 4: Simplify right side
    920.18x = 632,245.14
  5. Step 5: Solve for x
    x = 632,245.14/920.18
  6. Step 6: Final answer
    x = 687.09

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.