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Finding the Fourth Proportional to 1,071.37, 1,606.42 and 523

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Solution

The fourth proportional to 1,071.37, 1,606.42 and 523 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.37 : 1,606.42 = 523 : x
  2. Step 2: Convert to fraction form
    1,071.37/1,606.42 = 523/x
  3. Step 3: Cross multiply
    1,071.37x = 1,606.42 × 523
  4. Step 4: Simplify right side
    1,071.37x = 840,157.66
  5. Step 5: Solve for x
    x = 840,157.66/1,071.37
  6. Step 6: Final answer
    x = 784.19

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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.