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Finding the Fourth Proportional to 1,073.50, 1,481.57 and 607.75

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Solution

The fourth proportional to 1,073.50, 1,481.57 and 607.75 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.50 : 1,481.57 = 607.75 : x
  2. Step 2: Convert to fraction form
    1,073.50/1,481.57 = 607.75/x
  3. Step 3: Cross multiply
    1,073.50x = 1,481.57 × 607.75
  4. Step 4: Simplify right side
    1,073.50x = 900,424.17
  5. Step 5: Solve for x
    x = 900,424.17/1,073.50
  6. Step 6: Final answer
    x = 838.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.