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Finding the Fourth Proportional to 867.16, 1,301.01 and 380.26

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Solution

The fourth proportional to 867.16, 1,301.01 and 380.26 is: 570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.16 : 1,301.01 = 380.26 : x
  2. Step 2: Convert to fraction form
    867.16/1,301.01 = 380.26/x
  3. Step 3: Cross multiply
    867.16x = 1,301.01 × 380.26
  4. Step 4: Simplify right side
    867.16x = 494,722.06
  5. Step 5: Solve for x
    x = 494,722.06/867.16
  6. Step 6: Final answer
    x = 570.51

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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.