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Finding the Fourth Proportional to 1,072.08, 1,606.98 and 523.50

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Solution

The fourth proportional to 1,072.08, 1,606.98 and 523.50 is: 784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.08 : 1,606.98 = 523.50 : x
  2. Step 2: Convert to fraction form
    1,072.08/1,606.98 = 523.50/x
  3. Step 3: Cross multiply
    1,072.08x = 1,606.98 × 523.50
  4. Step 4: Simplify right side
    1,072.08x = 841,254.03
  5. Step 5: Solve for x
    x = 841,254.03/1,072.08
  6. Step 6: Final answer
    x = 784.69

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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.