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Finding the Fourth Proportional to 614.86, 922.29 and 307.09

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Solution

The fourth proportional to 614.86, 922.29 and 307.09 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.86 : 922.29 = 307.09 : x
  2. Step 2: Convert to fraction form
    614.86/922.29 = 307.09/x
  3. Step 3: Cross multiply
    614.86x = 922.29 × 307.09
  4. Step 4: Simplify right side
    614.86x = 283,226.04
  5. Step 5: Solve for x
    x = 283,226.04/614.86
  6. Step 6: Final answer
    x = 460.64

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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.