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Finding the Fourth Proportional to 423.53, 579.13 and 423.53

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Solution

The fourth proportional to 423.53, 579.13 and 423.53 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.53 : 579.13 = 423.53 : x
  2. Step 2: Convert to fraction form
    423.53/579.13 = 423.53/x
  3. Step 3: Cross multiply
    423.53x = 579.13 × 423.53
  4. Step 4: Simplify right side
    423.53x = 245,279.53
  5. Step 5: Solve for x
    x = 245,279.53/423.53
  6. Step 6: Final answer
    x = 579.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.