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Finding the Fourth Proportional to 423.72, 583.56 and 371.24

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Solution

The fourth proportional to 423.72, 583.56 and 371.24 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 583.56 = 371.24 : x
  2. Step 2: Convert to fraction form
    423.72/583.56 = 371.24/x
  3. Step 3: Cross multiply
    423.72x = 583.56 × 371.24
  4. Step 4: Simplify right side
    423.72x = 216,640.81
  5. Step 5: Solve for x
    x = 216,640.81/423.72
  6. Step 6: Final answer
    x = 511.28

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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.