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Finding the Fourth Proportional to 423.67, 582.90 and 373.66

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Solution

The fourth proportional to 423.67, 582.90 and 373.66 is: 514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.67 : 582.90 = 373.66 : x
  2. Step 2: Convert to fraction form
    423.67/582.90 = 373.66/x
  3. Step 3: Cross multiply
    423.67x = 582.90 × 373.66
  4. Step 4: Simplify right side
    423.67x = 217,806.41
  5. Step 5: Solve for x
    x = 217,806.41/423.67
  6. Step 6: Final answer
    x = 514.09

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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.