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Finding the Fourth Proportional to 920.14, 1,269.94 and 588.72

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Solution

The fourth proportional to 920.14, 1,269.94 and 588.72 is: 812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,269.94 = 588.72 : x
  2. Step 2: Convert to fraction form
    920.14/1,269.94 = 588.72/x
  3. Step 3: Cross multiply
    920.14x = 1,269.94 × 588.72
  4. Step 4: Simplify right side
    920.14x = 747,639.08
  5. Step 5: Solve for x
    x = 747,639.08/920.14
  6. Step 6: Final answer
    x = 812.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.