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Finding the Fourth Proportional to 423.80, 583.55 and 371.05

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Solution

The fourth proportional to 423.80, 583.55 and 371.05 is: 510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 583.55 = 371.05 : x
  2. Step 2: Convert to fraction form
    423.80/583.55 = 371.05/x
  3. Step 3: Cross multiply
    423.80x = 583.55 × 371.05
  4. Step 4: Simplify right side
    423.80x = 216,523.64
  5. Step 5: Solve for x
    x = 216,523.64/423.80
  6. Step 6: Final answer
    x = 510.91

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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.