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Finding the Fourth Proportional to 1,071.53, 1,607.39 and 422.12

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Solution

The fourth proportional to 1,071.53, 1,607.39 and 422.12 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.53 : 1,607.39 = 422.12 : x
  2. Step 2: Convert to fraction form
    1,071.53/1,607.39 = 422.12/x
  3. Step 3: Cross multiply
    1,071.53x = 1,607.39 × 422.12
  4. Step 4: Simplify right side
    1,071.53x = 678,501.32
  5. Step 5: Solve for x
    x = 678,501.32/1,071.53
  6. Step 6: Final answer
    x = 633.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.