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Finding the Fourth Proportional to 923.04, 1,382.71 and 459.39

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Solution

The fourth proportional to 923.04, 1,382.71 and 459.39 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.04 : 1,382.71 = 459.39 : x
  2. Step 2: Convert to fraction form
    923.04/1,382.71 = 459.39/x
  3. Step 3: Cross multiply
    923.04x = 1,382.71 × 459.39
  4. Step 4: Simplify right side
    923.04x = 635,203.15
  5. Step 5: Solve for x
    x = 635,203.15/923.04
  6. Step 6: Final answer
    x = 688.16

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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.