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Finding the Fourth Proportional to 920.59, 1,269.94 and 699.16

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Solution

The fourth proportional to 920.59, 1,269.94 and 699.16 is: 964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.59 : 1,269.94 = 699.16 : x
  2. Step 2: Convert to fraction form
    920.59/1,269.94 = 699.16/x
  3. Step 3: Cross multiply
    920.59x = 1,269.94 × 699.16
  4. Step 4: Simplify right side
    920.59x = 887,887.43
  5. Step 5: Solve for x
    x = 887,887.43/920.59
  6. Step 6: Final answer
    x = 964.48

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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.