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Finding the Fourth Proportional to 538.84, 740.50 and 422.20

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Solution

The fourth proportional to 538.84, 740.50 and 422.20 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.84 : 740.50 = 422.20 : x
  2. Step 2: Convert to fraction form
    538.84/740.50 = 422.20/x
  3. Step 3: Cross multiply
    538.84x = 740.50 × 422.20
  4. Step 4: Simplify right side
    538.84x = 312,639.10
  5. Step 5: Solve for x
    x = 312,639.10/538.84
  6. Step 6: Final answer
    x = 580.21

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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.