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Finding the Fourth Proportional to 423.93, 587.40 and 406.92

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Solution

The fourth proportional to 423.93, 587.40 and 406.92 is: 563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.93 : 587.40 = 406.92 : x
  2. Step 2: Convert to fraction form
    423.93/587.40 = 406.92/x
  3. Step 3: Cross multiply
    423.93x = 587.40 × 406.92
  4. Step 4: Simplify right side
    423.93x = 239,024.81
  5. Step 5: Solve for x
    x = 239,024.81/423.93
  6. Step 6: Final answer
    x = 563.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.