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Finding the Fourth Proportional to 921.54, 1,382.31 and 434.34

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Solution

The fourth proportional to 921.54, 1,382.31 and 434.34 is: 651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.54 : 1,382.31 = 434.34 : x
  2. Step 2: Convert to fraction form
    921.54/1,382.31 = 434.34/x
  3. Step 3: Cross multiply
    921.54x = 1,382.31 × 434.34
  4. Step 4: Simplify right side
    921.54x = 600,392.53
  5. Step 5: Solve for x
    x = 600,392.53/921.54
  6. Step 6: Final answer
    x = 651.51

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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.