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Finding the Fourth Proportional to 1,069.74, 1,605.42 and 493.02

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Solution

The fourth proportional to 1,069.74, 1,605.42 and 493.02 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.74 : 1,605.42 = 493.02 : x
  2. Step 2: Convert to fraction form
    1,069.74/1,605.42 = 493.02/x
  3. Step 3: Cross multiply
    1,069.74x = 1,605.42 × 493.02
  4. Step 4: Simplify right side
    1,069.74x = 791,504.17
  5. Step 5: Solve for x
    x = 791,504.17/1,069.74
  6. Step 6: Final answer
    x = 739.90

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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.