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Finding the Fourth Proportional to 1,140.62, 1,710.68 and 447.06

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Solution

The fourth proportional to 1,140.62, 1,710.68 and 447.06 is: 670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.62 : 1,710.68 = 447.06 : x
  2. Step 2: Convert to fraction form
    1,140.62/1,710.68 = 447.06/x
  3. Step 3: Cross multiply
    1,140.62x = 1,710.68 × 447.06
  4. Step 4: Simplify right side
    1,140.62x = 764,774.37
  5. Step 5: Solve for x
    x = 764,774.37/1,140.62
  6. Step 6: Final answer
    x = 670.49

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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.