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Finding the Fourth Proportional to 614.32, 920.42 and 512.26

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Solution

The fourth proportional to 614.32, 920.42 and 512.26 is: 767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.32 : 920.42 = 512.26 : x
  2. Step 2: Convert to fraction form
    614.32/920.42 = 512.26/x
  3. Step 3: Cross multiply
    614.32x = 920.42 × 512.26
  4. Step 4: Simplify right side
    614.32x = 471,494.35
  5. Step 5: Solve for x
    x = 471,494.35/614.32
  6. Step 6: Final answer
    x = 767.51

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Half scale
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Double scale
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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.