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Finding the Fourth Proportional to 904.80, 1,249.32 and 694.64

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Solution

The fourth proportional to 904.80, 1,249.32 and 694.64 is: 959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.80 : 1,249.32 = 694.64 : x
  2. Step 2: Convert to fraction form
    904.80/1,249.32 = 694.64/x
  3. Step 3: Cross multiply
    904.80x = 1,249.32 × 694.64
  4. Step 4: Simplify right side
    904.80x = 867,821.40
  5. Step 5: Solve for x
    x = 867,821.40/904.80
  6. Step 6: Final answer
    x = 959.13

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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.