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Finding the Fourth Proportional to 1,071.44, 1,605.60 and 523.00

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Solution

The fourth proportional to 1,071.44, 1,605.60 and 523.00 is: 783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.44 : 1,605.60 = 523.00 : x
  2. Step 2: Convert to fraction form
    1,071.44/1,605.60 = 523.00/x
  3. Step 3: Cross multiply
    1,071.44x = 1,605.60 × 523.00
  4. Step 4: Simplify right side
    1,071.44x = 839,730.81
  5. Step 5: Solve for x
    x = 839,730.81/1,071.44
  6. Step 6: Final answer
    x = 783.74

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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.