Home / 1,035.12-1,549.60-687.25

Finding the Fourth Proportional to 1,035.12, 1,549.60 and 687.25

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Solution

The fourth proportional to 1,035.12, 1,549.60 and 687.25 is: 1,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.12 : 1,549.60 = 687.25 : x
  2. Step 2: Convert to fraction form
    1,035.12/1,549.60 = 687.25/x
  3. Step 3: Cross multiply
    1,035.12x = 1,549.60 × 687.25
  4. Step 4: Simplify right side
    1,035.12x = 1,064,957.01
  5. Step 5: Solve for x
    x = 1,064,957.01/1,035.12
  6. Step 6: Final answer
    x = 1,028.82

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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.