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Finding the Fourth Proportional to 920.12, 1,380.06 and 407

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Solution

The fourth proportional to 920.12, 1,380.06 and 407 is: 610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.12 : 1,380.06 = 407 : x
  2. Step 2: Convert to fraction form
    920.12/1,380.06 = 407/x
  3. Step 3: Cross multiply
    920.12x = 1,380.06 × 407
  4. Step 4: Simplify right side
    920.12x = 561,684.42
  5. Step 5: Solve for x
    x = 561,684.42/920.12
  6. Step 6: Final answer
    x = 610.45

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.