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Finding the Fourth Proportional to 423.87, 584.70 and 292.65

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Solution

The fourth proportional to 423.87, 584.70 and 292.65 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 584.70 = 292.65 : x
  2. Step 2: Convert to fraction form
    423.87/584.70 = 292.65/x
  3. Step 3: Cross multiply
    423.87x = 584.70 × 292.65
  4. Step 4: Simplify right side
    423.87x = 171,112.46
  5. Step 5: Solve for x
    x = 171,112.46/423.87
  6. Step 6: Final answer
    x = 403.69

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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.