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Finding the Fourth Proportional to 920.56, 1,381.86 and 458.22

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Solution

The fourth proportional to 920.56, 1,381.86 and 458.22 is: 687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.56 : 1,381.86 = 458.22 : x
  2. Step 2: Convert to fraction form
    920.56/1,381.86 = 458.22/x
  3. Step 3: Cross multiply
    920.56x = 1,381.86 × 458.22
  4. Step 4: Simplify right side
    920.56x = 633,192.43
  5. Step 5: Solve for x
    x = 633,192.43/920.56
  6. Step 6: Final answer
    x = 687.83

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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.