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Finding the Fourth Proportional to 553.07, 834.62 and 534.71

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Solution

The fourth proportional to 553.07, 834.62 and 534.71 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.07 : 834.62 = 534.71 : x
  2. Step 2: Convert to fraction form
    553.07/834.62 = 534.71/x
  3. Step 3: Cross multiply
    553.07x = 834.62 × 534.71
  4. Step 4: Simplify right side
    553.07x = 446,272.81
  5. Step 5: Solve for x
    x = 446,272.81/553.07
  6. Step 6: Final answer
    x = 806.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.