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Finding the Fourth Proportional to 423.90, 584.01 and 340.74

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Solution

The fourth proportional to 423.90, 584.01 and 340.74 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.90 : 584.01 = 340.74 : x
  2. Step 2: Convert to fraction form
    423.90/584.01 = 340.74/x
  3. Step 3: Cross multiply
    423.90x = 584.01 × 340.74
  4. Step 4: Simplify right side
    423.90x = 198,995.57
  5. Step 5: Solve for x
    x = 198,995.57/423.90
  6. Step 6: Final answer
    x = 469.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.