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Finding the Fourth Proportional to 867.33, 1,298.97 and 427.77

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Solution

The fourth proportional to 867.33, 1,298.97 and 427.77 is: 640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.33 : 1,298.97 = 427.77 : x
  2. Step 2: Convert to fraction form
    867.33/1,298.97 = 427.77/x
  3. Step 3: Cross multiply
    867.33x = 1,298.97 × 427.77
  4. Step 4: Simplify right side
    867.33x = 555,660.40
  5. Step 5: Solve for x
    x = 555,660.40/867.33
  6. Step 6: Final answer
    x = 640.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.