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Finding the Fourth Proportional to 921.48, 1,382.42 and 459.51

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Solution

The fourth proportional to 921.48, 1,382.42 and 459.51 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.48 : 1,382.42 = 459.51 : x
  2. Step 2: Convert to fraction form
    921.48/1,382.42 = 459.51/x
  3. Step 3: Cross multiply
    921.48x = 1,382.42 × 459.51
  4. Step 4: Simplify right side
    921.48x = 635,235.81
  5. Step 5: Solve for x
    x = 635,235.81/921.48
  6. Step 6: Final answer
    x = 689.36

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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.