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Finding the Fourth Proportional to 918.53, 1,268.06 and 708.25

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Solution

The fourth proportional to 918.53, 1,268.06 and 708.25 is: 977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.53 : 1,268.06 = 708.25 : x
  2. Step 2: Convert to fraction form
    918.53/1,268.06 = 708.25/x
  3. Step 3: Cross multiply
    918.53x = 1,268.06 × 708.25
  4. Step 4: Simplify right side
    918.53x = 898,103.50
  5. Step 5: Solve for x
    x = 898,103.50/918.53
  6. Step 6: Final answer
    x = 977.76

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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.