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Finding the Fourth Proportional to 614.07, 920.31 and 305.26

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Solution

The fourth proportional to 614.07, 920.31 and 305.26 is: 457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.07 : 920.31 = 305.26 : x
  2. Step 2: Convert to fraction form
    614.07/920.31 = 305.26/x
  3. Step 3: Cross multiply
    614.07x = 920.31 × 305.26
  4. Step 4: Simplify right side
    614.07x = 280,933.83
  5. Step 5: Solve for x
    x = 280,933.83/614.07
  6. Step 6: Final answer
    x = 457.49

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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.