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Finding the Fourth Proportional to 846.50, 1,169.64 and 698.87

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Solution

The fourth proportional to 846.50, 1,169.64 and 698.87 is: 965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.50 : 1,169.64 = 698.87 : x
  2. Step 2: Convert to fraction form
    846.50/1,169.64 = 698.87/x
  3. Step 3: Cross multiply
    846.50x = 1,169.64 × 698.87
  4. Step 4: Simplify right side
    846.50x = 817,422.81
  5. Step 5: Solve for x
    x = 817,422.81/846.50
  6. Step 6: Final answer
    x = 965.66

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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.