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Finding the Fourth Proportional to 952.94, 1,315.15 and 687.60

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Solution

The fourth proportional to 952.94, 1,315.15 and 687.60 is: 948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.94 : 1,315.15 = 687.60 : x
  2. Step 2: Convert to fraction form
    952.94/1,315.15 = 687.60/x
  3. Step 3: Cross multiply
    952.94x = 1,315.15 × 687.60
  4. Step 4: Simplify right side
    952.94x = 904,297.14
  5. Step 5: Solve for x
    x = 904,297.14/952.94
  6. Step 6: Final answer
    x = 948.95

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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.