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Finding the Fourth Proportional to 920.48, 1,380.92 and 458.51

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Solution

The fourth proportional to 920.48, 1,380.92 and 458.51 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.48 : 1,380.92 = 458.51 : x
  2. Step 2: Convert to fraction form
    920.48/1,380.92 = 458.51/x
  3. Step 3: Cross multiply
    920.48x = 1,380.92 × 458.51
  4. Step 4: Simplify right side
    920.48x = 633,165.63
  5. Step 5: Solve for x
    x = 633,165.63/920.48
  6. Step 6: Final answer
    x = 687.86

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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.