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Finding the Fourth Proportional to 869.81, 1,200.95 and 607.37

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Solution

The fourth proportional to 869.81, 1,200.95 and 607.37 is: 838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.81 : 1,200.95 = 607.37 : x
  2. Step 2: Convert to fraction form
    869.81/1,200.95 = 607.37/x
  3. Step 3: Cross multiply
    869.81x = 1,200.95 × 607.37
  4. Step 4: Simplify right side
    869.81x = 729,425.52
  5. Step 5: Solve for x
    x = 729,425.52/869.81
  6. Step 6: Final answer
    x = 838.60

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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.