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Finding the Fourth Proportional to 703.51, 1,049.93 and 687.13

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Solution

The fourth proportional to 703.51, 1,049.93 and 687.13 is: 1,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.51 : 1,049.93 = 687.13 : x
  2. Step 2: Convert to fraction form
    703.51/1,049.93 = 687.13/x
  3. Step 3: Cross multiply
    703.51x = 1,049.93 × 687.13
  4. Step 4: Simplify right side
    703.51x = 721,438.40
  5. Step 5: Solve for x
    x = 721,438.40/703.51
  6. Step 6: Final answer
    x = 1,025.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.