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Finding the Fourth Proportional to 1,071.40, 1,606.14 and 523.84

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Solution

The fourth proportional to 1,071.40, 1,606.14 and 523.84 is: 785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.40 : 1,606.14 = 523.84 : x
  2. Step 2: Convert to fraction form
    1,071.40/1,606.14 = 523.84/x
  3. Step 3: Cross multiply
    1,071.40x = 1,606.14 × 523.84
  4. Step 4: Simplify right side
    1,071.40x = 841,360.38
  5. Step 5: Solve for x
    x = 841,360.38/1,071.40
  6. Step 6: Final answer
    x = 785.29

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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.