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Finding the Fourth Proportional to 722.62, 1,077.94 and 635.14

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Solution

The fourth proportional to 722.62, 1,077.94 and 635.14 is: 947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.62 : 1,077.94 = 635.14 : x
  2. Step 2: Convert to fraction form
    722.62/1,077.94 = 635.14/x
  3. Step 3: Cross multiply
    722.62x = 1,077.94 × 635.14
  4. Step 4: Simplify right side
    722.62x = 684,642.81
  5. Step 5: Solve for x
    x = 684,642.81/722.62
  6. Step 6: Final answer
    x = 947.45

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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.