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Finding the Fourth Proportional to 614.25, 920.16 and 305.17

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Solution

The fourth proportional to 614.25, 920.16 and 305.17 is: 457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 920.16 = 305.17 : x
  2. Step 2: Convert to fraction form
    614.25/920.16 = 305.17/x
  3. Step 3: Cross multiply
    614.25x = 920.16 × 305.17
  4. Step 4: Simplify right side
    614.25x = 280,802.93
  5. Step 5: Solve for x
    x = 280,802.93/614.25
  6. Step 6: Final answer
    x = 457.15

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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.