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Finding the Fourth Proportional to 703.16, 1,053.69 and 626.27

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Solution

The fourth proportional to 703.16, 1,053.69 and 626.27 is: 938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 1,053.69 = 626.27 : x
  2. Step 2: Convert to fraction form
    703.16/1,053.69 = 626.27/x
  3. Step 3: Cross multiply
    703.16x = 1,053.69 × 626.27
  4. Step 4: Simplify right side
    703.16x = 659,889.17
  5. Step 5: Solve for x
    x = 659,889.17/703.16
  6. Step 6: Final answer
    x = 938.47

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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.