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Finding the Fourth Proportional to 862.95, 1,188.77 and 687.99

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Solution

The fourth proportional to 862.95, 1,188.77 and 687.99 is: 947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.95 : 1,188.77 = 687.99 : x
  2. Step 2: Convert to fraction form
    862.95/1,188.77 = 687.99/x
  3. Step 3: Cross multiply
    862.95x = 1,188.77 × 687.99
  4. Step 4: Simplify right side
    862.95x = 817,858.43
  5. Step 5: Solve for x
    x = 817,858.43/862.95
  6. Step 6: Final answer
    x = 947.75

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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.