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Finding the Fourth Proportional to 846.14, 1,267.50 and 708.80

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Solution

The fourth proportional to 846.14, 1,267.50 and 708.80 is: 1,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,267.50 = 708.80 : x
  2. Step 2: Convert to fraction form
    846.14/1,267.50 = 708.80/x
  3. Step 3: Cross multiply
    846.14x = 1,267.50 × 708.80
  4. Step 4: Simplify right side
    846.14x = 898,404
  5. Step 5: Solve for x
    x = 898,404/846.14
  6. Step 6: Final answer
    x = 1,061.77

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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.